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Finding the Fourth Proportional to 573.29, 864.17 and 539.84

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Solution

The fourth proportional to 573.29, 864.17 and 539.84 is: 813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.29 : 864.17 = 539.84 : x
  2. Step 2: Convert to fraction form
    573.29/864.17 = 539.84/x
  3. Step 3: Cross multiply
    573.29x = 864.17 × 539.84
  4. Step 4: Simplify right side
    573.29x = 466,513.53
  5. Step 5: Solve for x
    x = 466,513.53/573.29
  6. Step 6: Final answer
    x = 813.75

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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.