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Finding the Fourth Proportional to 573.48, 861.66 and 538.92

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Solution

The fourth proportional to 573.48, 861.66 and 538.92 is: 809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.48 : 861.66 = 538.92 : x
  2. Step 2: Convert to fraction form
    573.48/861.66 = 538.92/x
  3. Step 3: Cross multiply
    573.48x = 861.66 × 538.92
  4. Step 4: Simplify right side
    573.48x = 464,365.81
  5. Step 5: Solve for x
    x = 464,365.81/573.48
  6. Step 6: Final answer
    x = 809.73

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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.