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Finding the Fourth Proportional to 572.16, 854.88 and 545.28

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Solution

The fourth proportional to 572.16, 854.88 and 545.28 is: 814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.16 : 854.88 = 545.28 : x
  2. Step 2: Convert to fraction form
    572.16/854.88 = 545.28/x
  3. Step 3: Cross multiply
    572.16x = 854.88 × 545.28
  4. Step 4: Simplify right side
    572.16x = 466,148.97
  5. Step 5: Solve for x
    x = 466,148.97/572.16
  6. Step 6: Final answer
    x = 814.72

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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.