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Finding the Fourth Proportional to 532.08, 796.96 and 439.74

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Solution

The fourth proportional to 532.08, 796.96 and 439.74 is: 658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.08 : 796.96 = 439.74 : x
  2. Step 2: Convert to fraction form
    532.08/796.96 = 439.74/x
  3. Step 3: Cross multiply
    532.08x = 796.96 × 439.74
  4. Step 4: Simplify right side
    532.08x = 350,455.19
  5. Step 5: Solve for x
    x = 350,455.19/532.08
  6. Step 6: Final answer
    x = 658.65

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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.