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Finding the Fourth Proportional to 547.62, 818.01 and 409.92

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Solution

The fourth proportional to 547.62, 818.01 and 409.92 is: 612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.62 : 818.01 = 409.92 : x
  2. Step 2: Convert to fraction form
    547.62/818.01 = 409.92/x
  3. Step 3: Cross multiply
    547.62x = 818.01 × 409.92
  4. Step 4: Simplify right side
    547.62x = 335,318.66
  5. Step 5: Solve for x
    x = 335,318.66/547.62
  6. Step 6: Final answer
    x = 612.32

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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.