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Finding the Fourth Proportional to 987.60, 1,480.38 and 402.35

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Solution

The fourth proportional to 987.60, 1,480.38 and 402.35 is: 603.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.60 : 1,480.38 = 402.35 : x
  2. Step 2: Convert to fraction form
    987.60/1,480.38 = 402.35/x
  3. Step 3: Cross multiply
    987.60x = 1,480.38 × 402.35
  4. Step 4: Simplify right side
    987.60x = 595,630.89
  5. Step 5: Solve for x
    x = 595,630.89/987.60
  6. Step 6: Final answer
    x = 603.11

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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.