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Finding the Fourth Proportional to 987.80, 1,472.74 and 962.15

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Solution

The fourth proportional to 987.80, 1,472.74 and 962.15 is: 1,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.80 : 1,472.74 = 962.15 : x
  2. Step 2: Convert to fraction form
    987.80/1,472.74 = 962.15/x
  3. Step 3: Cross multiply
    987.80x = 1,472.74 × 962.15
  4. Step 4: Simplify right side
    987.80x = 1,416,996.79
  5. Step 5: Solve for x
    x = 1,416,996.79/987.80
  6. Step 6: Final answer
    x = 1,434.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.