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Finding the Fourth Proportional to 562.82, 845.10 and 347.76

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Solution

The fourth proportional to 562.82, 845.10 and 347.76 is: 522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.82 : 845.10 = 347.76 : x
  2. Step 2: Convert to fraction form
    562.82/845.10 = 347.76/x
  3. Step 3: Cross multiply
    562.82x = 845.10 × 347.76
  4. Step 4: Simplify right side
    562.82x = 293,891.98
  5. Step 5: Solve for x
    x = 293,891.98/562.82
  6. Step 6: Final answer
    x = 522.18

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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.