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Finding the Fourth Proportional to 562.70, 849.29 and 543.41

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Solution

The fourth proportional to 562.70, 849.29 and 543.41 is: 820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.70 : 849.29 = 543.41 : x
  2. Step 2: Convert to fraction form
    562.70/849.29 = 543.41/x
  3. Step 3: Cross multiply
    562.70x = 849.29 × 543.41
  4. Step 4: Simplify right side
    562.70x = 461,508.90
  5. Step 5: Solve for x
    x = 461,508.90/562.70
  6. Step 6: Final answer
    x = 820.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.