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Finding the Fourth Proportional to 392.58, 585.36 and 392.04

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Solution

The fourth proportional to 392.58, 585.36 and 392.04 is: 584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.58 : 585.36 = 392.04 : x
  2. Step 2: Convert to fraction form
    392.58/585.36 = 392.04/x
  3. Step 3: Cross multiply
    392.58x = 585.36 × 392.04
  4. Step 4: Simplify right side
    392.58x = 229,484.53
  5. Step 5: Solve for x
    x = 229,484.53/392.58
  6. Step 6: Final answer
    x = 584.55

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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.