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Finding the Fourth Proportional to 747.98, 1,120.79 and 631.88

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Solution

The fourth proportional to 747.98, 1,120.79 and 631.88 is: 946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.98 : 1,120.79 = 631.88 : x
  2. Step 2: Convert to fraction form
    747.98/1,120.79 = 631.88/x
  3. Step 3: Cross multiply
    747.98x = 1,120.79 × 631.88
  4. Step 4: Simplify right side
    747.98x = 708,201.63
  5. Step 5: Solve for x
    x = 708,201.63/747.98
  6. Step 6: Final answer
    x = 946.82

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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.