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Finding the Fourth Proportional to 749.87, 1,124.80 and 691.55

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Solution

The fourth proportional to 749.87, 1,124.80 and 691.55 is: 1,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.87 : 1,124.80 = 691.55 : x
  2. Step 2: Convert to fraction form
    749.87/1,124.80 = 691.55/x
  3. Step 3: Cross multiply
    749.87x = 1,124.80 × 691.55
  4. Step 4: Simplify right side
    749.87x = 777,848.09
  5. Step 5: Solve for x
    x = 777,848.09/749.87
  6. Step 6: Final answer
    x = 1,037.32

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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.