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Finding the Fourth Proportional to 987.36, 1,481.02 and 402.20

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Solution

The fourth proportional to 987.36, 1,481.02 and 402.20 is: 603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.36 : 1,481.02 = 402.20 : x
  2. Step 2: Convert to fraction form
    987.36/1,481.02 = 402.20/x
  3. Step 3: Cross multiply
    987.36x = 1,481.02 × 402.20
  4. Step 4: Simplify right side
    987.36x = 595,666.24
  5. Step 5: Solve for x
    x = 595,666.24/987.36
  6. Step 6: Final answer
    x = 603.29

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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.