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Finding the Fourth Proportional to 562.87, 849.38 and 542.53

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Solution

The fourth proportional to 562.87, 849.38 and 542.53 is: 818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.87 : 849.38 = 542.53 : x
  2. Step 2: Convert to fraction form
    562.87/849.38 = 542.53/x
  3. Step 3: Cross multiply
    562.87x = 849.38 × 542.53
  4. Step 4: Simplify right side
    562.87x = 460,814.13
  5. Step 5: Solve for x
    x = 460,814.13/562.87
  6. Step 6: Final answer
    x = 818.69

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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.