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Finding the Fourth Proportional to 539.76, 805.92 and 462.60

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Solution

The fourth proportional to 539.76, 805.92 and 462.60 is: 690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.76 : 805.92 = 462.60 : x
  2. Step 2: Convert to fraction form
    539.76/805.92 = 462.60/x
  3. Step 3: Cross multiply
    539.76x = 805.92 × 462.60
  4. Step 4: Simplify right side
    539.76x = 372,818.59
  5. Step 5: Solve for x
    x = 372,818.59/539.76
  6. Step 6: Final answer
    x = 690.71

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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.