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Finding the Fourth Proportional to 392.67, 585.42 and 387.81

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Solution

The fourth proportional to 392.67, 585.42 and 387.81 is: 578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.67 : 585.42 = 387.81 : x
  2. Step 2: Convert to fraction form
    392.67/585.42 = 387.81/x
  3. Step 3: Cross multiply
    392.67x = 585.42 × 387.81
  4. Step 4: Simplify right side
    392.67x = 227,031.73
  5. Step 5: Solve for x
    x = 227,031.73/392.67
  6. Step 6: Final answer
    x = 578.17

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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.