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Finding the Fourth Proportional to 484.62, 727.93 and 392.17

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Solution

The fourth proportional to 484.62, 727.93 and 392.17 is: 589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.62 : 727.93 = 392.17 : x
  2. Step 2: Convert to fraction form
    484.62/727.93 = 392.17/x
  3. Step 3: Cross multiply
    484.62x = 727.93 × 392.17
  4. Step 4: Simplify right side
    484.62x = 285,472.31
  5. Step 5: Solve for x
    x = 285,472.31/484.62
  6. Step 6: Final answer
    x = 589.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.