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Finding the Fourth Proportional to 1,366.01, 1,885.25 and 776.63

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Solution

The fourth proportional to 1,366.01, 1,885.25 and 776.63 is: 1,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.01 : 1,885.25 = 776.63 : x
  2. Step 2: Convert to fraction form
    1,366.01/1,885.25 = 776.63/x
  3. Step 3: Cross multiply
    1,366.01x = 1,885.25 × 776.63
  4. Step 4: Simplify right side
    1,366.01x = 1,464,138.38
  5. Step 5: Solve for x
    x = 1,464,138.38/1,366.01
  6. Step 6: Final answer
    x = 1,071.84

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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.