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Finding the Fourth Proportional to 573.01, 861.35 and 548.71

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Solution

The fourth proportional to 573.01, 861.35 and 548.71 is: 824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.01 : 861.35 = 548.71 : x
  2. Step 2: Convert to fraction form
    573.01/861.35 = 548.71/x
  3. Step 3: Cross multiply
    573.01x = 861.35 × 548.71
  4. Step 4: Simplify right side
    573.01x = 472,626.46
  5. Step 5: Solve for x
    x = 472,626.46/573.01
  6. Step 6: Final answer
    x = 824.82

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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.