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Finding the Fourth Proportional to 532.29, 798.66 and 315.75

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Solution

The fourth proportional to 532.29, 798.66 and 315.75 is: 473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.29 : 798.66 = 315.75 : x
  2. Step 2: Convert to fraction form
    532.29/798.66 = 315.75/x
  3. Step 3: Cross multiply
    532.29x = 798.66 × 315.75
  4. Step 4: Simplify right side
    532.29x = 252,176.90
  5. Step 5: Solve for x
    x = 252,176.90/532.29
  6. Step 6: Final answer
    x = 473.76

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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.