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Finding the Fourth Proportional to 532.93, 733.85 and 520.80

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Solution

The fourth proportional to 532.93, 733.85 and 520.80 is: 717.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.93 : 733.85 = 520.80 : x
  2. Step 2: Convert to fraction form
    532.93/733.85 = 520.80/x
  3. Step 3: Cross multiply
    532.93x = 733.85 × 520.80
  4. Step 4: Simplify right side
    532.93x = 382,189.08
  5. Step 5: Solve for x
    x = 382,189.08/532.93
  6. Step 6: Final answer
    x = 717.15

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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.