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Finding the Fourth Proportional to 562.52, 841.64 and 343.20

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Solution

The fourth proportional to 562.52, 841.64 and 343.20 is: 513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.52 : 841.64 = 343.20 : x
  2. Step 2: Convert to fraction form
    562.52/841.64 = 343.20/x
  3. Step 3: Cross multiply
    562.52x = 841.64 × 343.20
  4. Step 4: Simplify right side
    562.52x = 288,849.13
  5. Step 5: Solve for x
    x = 288,849.13/562.52
  6. Step 6: Final answer
    x = 513.50

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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.