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Finding the Fourth Proportional to 573.24, 855.24 and 545.76

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Solution

The fourth proportional to 573.24, 855.24 and 545.76 is: 814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.24 : 855.24 = 545.76 : x
  2. Step 2: Convert to fraction form
    573.24/855.24 = 545.76/x
  3. Step 3: Cross multiply
    573.24x = 855.24 × 545.76
  4. Step 4: Simplify right side
    573.24x = 466,755.78
  5. Step 5: Solve for x
    x = 466,755.78/573.24
  6. Step 6: Final answer
    x = 814.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.