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Finding the Fourth Proportional to 540.68, 814.64 and 489.38

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Solution

The fourth proportional to 540.68, 814.64 and 489.38 is: 737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.68 : 814.64 = 489.38 : x
  2. Step 2: Convert to fraction form
    540.68/814.64 = 489.38/x
  3. Step 3: Cross multiply
    540.68x = 814.64 × 489.38
  4. Step 4: Simplify right side
    540.68x = 398,668.52
  5. Step 5: Solve for x
    x = 398,668.52/540.68
  6. Step 6: Final answer
    x = 737.35

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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.