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Finding the Fourth Proportional to 754.71, 1,131.85 and 523.86

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Solution

The fourth proportional to 754.71, 1,131.85 and 523.86 is: 785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.71 : 1,131.85 = 523.86 : x
  2. Step 2: Convert to fraction form
    754.71/1,131.85 = 523.86/x
  3. Step 3: Cross multiply
    754.71x = 1,131.85 × 523.86
  4. Step 4: Simplify right side
    754.71x = 592,930.94
  5. Step 5: Solve for x
    x = 592,930.94/754.71
  6. Step 6: Final answer
    x = 785.64

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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.