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Finding the Fourth Proportional to 750.46, 1,126.28 and 520.97

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Solution

The fourth proportional to 750.46, 1,126.28 and 520.97 is: 781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.46 : 1,126.28 = 520.97 : x
  2. Step 2: Convert to fraction form
    750.46/1,126.28 = 520.97/x
  3. Step 3: Cross multiply
    750.46x = 1,126.28 × 520.97
  4. Step 4: Simplify right side
    750.46x = 586,749.86
  5. Step 5: Solve for x
    x = 586,749.86/750.46
  6. Step 6: Final answer
    x = 781.86

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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.