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Finding the Fourth Proportional to 747.23, 1,115.88 and 644.76

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Solution

The fourth proportional to 747.23, 1,115.88 and 644.76 is: 962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.23 : 1,115.88 = 644.76 : x
  2. Step 2: Convert to fraction form
    747.23/1,115.88 = 644.76/x
  3. Step 3: Cross multiply
    747.23x = 1,115.88 × 644.76
  4. Step 4: Simplify right side
    747.23x = 719,472.37
  5. Step 5: Solve for x
    x = 719,472.37/747.23
  6. Step 6: Final answer
    x = 962.86

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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.