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Finding the Fourth Proportional to 562.80, 843.80 and 343.76

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Solution

The fourth proportional to 562.80, 843.80 and 343.76 is: 515.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.80 : 843.80 = 343.76 : x
  2. Step 2: Convert to fraction form
    562.80/843.80 = 343.76/x
  3. Step 3: Cross multiply
    562.80x = 843.80 × 343.76
  4. Step 4: Simplify right side
    562.80x = 290,064.69
  5. Step 5: Solve for x
    x = 290,064.69/562.80
  6. Step 6: Final answer
    x = 515.40

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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.