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Finding the Fourth Proportional to 532.24, 800.79 and 315.97

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Solution

The fourth proportional to 532.24, 800.79 and 315.97 is: 475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.24 : 800.79 = 315.97 : x
  2. Step 2: Convert to fraction form
    532.24/800.79 = 315.97/x
  3. Step 3: Cross multiply
    532.24x = 800.79 × 315.97
  4. Step 4: Simplify right side
    532.24x = 253,025.62
  5. Step 5: Solve for x
    x = 253,025.62/532.24
  6. Step 6: Final answer
    x = 475.40

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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.