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Finding the Fourth Proportional to 1,352.17, 1,866.09 and 762.76

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Solution

The fourth proportional to 1,352.17, 1,866.09 and 762.76 is: 1,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.17 : 1,866.09 = 762.76 : x
  2. Step 2: Convert to fraction form
    1,352.17/1,866.09 = 762.76/x
  3. Step 3: Cross multiply
    1,352.17x = 1,866.09 × 762.76
  4. Step 4: Simplify right side
    1,352.17x = 1,423,378.81
  5. Step 5: Solve for x
    x = 1,423,378.81/1,352.17
  6. Step 6: Final answer
    x = 1,052.66

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.