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Finding the Fourth Proportional to 742.50, 1,023.03 and 520.83

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Solution

The fourth proportional to 742.50, 1,023.03 and 520.83 is: 717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.50 : 1,023.03 = 520.83 : x
  2. Step 2: Convert to fraction form
    742.50/1,023.03 = 520.83/x
  3. Step 3: Cross multiply
    742.50x = 1,023.03 × 520.83
  4. Step 4: Simplify right side
    742.50x = 532,824.71
  5. Step 5: Solve for x
    x = 532,824.71/742.50
  6. Step 6: Final answer
    x = 717.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.