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Finding the Fourth Proportional to 987.41, 1,480.25 and 402.38

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Solution

The fourth proportional to 987.41, 1,480.25 and 402.38 is: 603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.41 : 1,480.25 = 402.38 : x
  2. Step 2: Convert to fraction form
    987.41/1,480.25 = 402.38/x
  3. Step 3: Cross multiply
    987.41x = 1,480.25 × 402.38
  4. Step 4: Simplify right side
    987.41x = 595,613.58
  5. Step 5: Solve for x
    x = 595,613.58/987.41
  6. Step 6: Final answer
    x = 603.21

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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.