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Finding the Fourth Proportional to 592.61, 817.76 and 343.91

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Solution

The fourth proportional to 592.61, 817.76 and 343.91 is: 474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.61 : 817.76 = 343.91 : x
  2. Step 2: Convert to fraction form
    592.61/817.76 = 343.91/x
  3. Step 3: Cross multiply
    592.61x = 817.76 × 343.91
  4. Step 4: Simplify right side
    592.61x = 281,234.12
  5. Step 5: Solve for x
    x = 281,234.12/592.61
  6. Step 6: Final answer
    x = 474.57

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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.