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Finding the Fourth Proportional to 937.18, 1,402.44 and 644.74

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Solution

The fourth proportional to 937.18, 1,402.44 and 644.74 is: 964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.18 : 1,402.44 = 644.74 : x
  2. Step 2: Convert to fraction form
    937.18/1,402.44 = 644.74/x
  3. Step 3: Cross multiply
    937.18x = 1,402.44 × 644.74
  4. Step 4: Simplify right side
    937.18x = 904,209.17
  5. Step 5: Solve for x
    x = 904,209.17/937.18
  6. Step 6: Final answer
    x = 964.82

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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.