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Finding the Fourth Proportional to 987.97, 1,475.96 and 638.46

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Solution

The fourth proportional to 987.97, 1,475.96 and 638.46 is: 953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.97 : 1,475.96 = 638.46 : x
  2. Step 2: Convert to fraction form
    987.97/1,475.96 = 638.46/x
  3. Step 3: Cross multiply
    987.97x = 1,475.96 × 638.46
  4. Step 4: Simplify right side
    987.97x = 942,341.42
  5. Step 5: Solve for x
    x = 942,341.42/987.97
  6. Step 6: Final answer
    x = 953.82

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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.