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Finding the Fourth Proportional to 532.72, 797.24 and 486.08

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Solution

The fourth proportional to 532.72, 797.24 and 486.08 is: 727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.72 : 797.24 = 486.08 : x
  2. Step 2: Convert to fraction form
    532.72/797.24 = 486.08/x
  3. Step 3: Cross multiply
    532.72x = 797.24 × 486.08
  4. Step 4: Simplify right side
    532.72x = 387,522.42
  5. Step 5: Solve for x
    x = 387,522.42/532.72
  6. Step 6: Final answer
    x = 727.44

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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.