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Finding the Fourth Proportional to 523.32, 722.17 and 296.18

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Solution

The fourth proportional to 523.32, 722.17 and 296.18 is: 408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.32 : 722.17 = 296.18 : x
  2. Step 2: Convert to fraction form
    523.32/722.17 = 296.18/x
  3. Step 3: Cross multiply
    523.32x = 722.17 × 296.18
  4. Step 4: Simplify right side
    523.32x = 213,890.67
  5. Step 5: Solve for x
    x = 213,890.67/523.32
  6. Step 6: Final answer
    x = 408.72

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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.