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Finding the Fourth Proportional to 572.49, 862.97 and 534.87

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Solution

The fourth proportional to 572.49, 862.97 and 534.87 is: 806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.49 : 862.97 = 534.87 : x
  2. Step 2: Convert to fraction form
    572.49/862.97 = 534.87/x
  3. Step 3: Cross multiply
    572.49x = 862.97 × 534.87
  4. Step 4: Simplify right side
    572.49x = 461,574.09
  5. Step 5: Solve for x
    x = 461,574.09/572.49
  6. Step 6: Final answer
    x = 806.26

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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.