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Finding the Fourth Proportional to 1,265.31, 1,896.53 and 614.55

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Solution

The fourth proportional to 1,265.31, 1,896.53 and 614.55 is: 921.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.31 : 1,896.53 = 614.55 : x
  2. Step 2: Convert to fraction form
    1,265.31/1,896.53 = 614.55/x
  3. Step 3: Cross multiply
    1,265.31x = 1,896.53 × 614.55
  4. Step 4: Simplify right side
    1,265.31x = 1,165,509.44
  5. Step 5: Solve for x
    x = 1,165,509.44/1,265.31
  6. Step 6: Final answer
    x = 921.13

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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.