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Finding the Fourth Proportional to 1,020.68, 1,531.25 and 371.42

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Solution

The fourth proportional to 1,020.68, 1,531.25 and 371.42 is: 557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.68 : 1,531.25 = 371.42 : x
  2. Step 2: Convert to fraction form
    1,020.68/1,531.25 = 371.42/x
  3. Step 3: Cross multiply
    1,020.68x = 1,531.25 × 371.42
  4. Step 4: Simplify right side
    1,020.68x = 568,727.36
  5. Step 5: Solve for x
    x = 568,727.36/1,020.68
  6. Step 6: Final answer
    x = 557.21

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