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Finding the Fourth Proportional to 1,701.13, 2,551.70 and 776.99

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Solution

The fourth proportional to 1,701.13, 2,551.70 and 776.99 is: 1,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.13 : 2,551.70 = 776.99 : x
  2. Step 2: Convert to fraction form
    1,701.13/2,551.70 = 776.99/x
  3. Step 3: Cross multiply
    1,701.13x = 2,551.70 × 776.99
  4. Step 4: Simplify right side
    1,701.13x = 1,982,645.38
  5. Step 5: Solve for x
    x = 1,982,645.38/1,701.13
  6. Step 6: Final answer
    x = 1,165.49

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.