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Finding the Fourth Proportional to 597.92, 823.20 and 499.52

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Solution

The fourth proportional to 597.92, 823.20 and 499.52 is: 687.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.92 : 823.20 = 499.52 : x
  2. Step 2: Convert to fraction form
    597.92/823.20 = 499.52/x
  3. Step 3: Cross multiply
    597.92x = 823.20 × 499.52
  4. Step 4: Simplify right side
    597.92x = 411,204.86
  5. Step 5: Solve for x
    x = 411,204.86/597.92
  6. Step 6: Final answer
    x = 687.73

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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.