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Finding the Fourth Proportional to 562.92, 844.80 and 343.77

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Solution

The fourth proportional to 562.92, 844.80 and 343.77 is: 515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.92 : 844.80 = 343.77 : x
  2. Step 2: Convert to fraction form
    562.92/844.80 = 343.77/x
  3. Step 3: Cross multiply
    562.92x = 844.80 × 343.77
  4. Step 4: Simplify right side
    562.92x = 290,416.90
  5. Step 5: Solve for x
    x = 290,416.90/562.92
  6. Step 6: Final answer
    x = 515.91

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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.