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Finding the Fourth Proportional to 523.12, 720.39 and 497.20

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Solution

The fourth proportional to 523.12, 720.39 and 497.20 is: 684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.12 : 720.39 = 497.20 : x
  2. Step 2: Convert to fraction form
    523.12/720.39 = 497.20/x
  3. Step 3: Cross multiply
    523.12x = 720.39 × 497.20
  4. Step 4: Simplify right side
    523.12x = 358,177.91
  5. Step 5: Solve for x
    x = 358,177.91/523.12
  6. Step 6: Final answer
    x = 684.70

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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.