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Finding the Fourth Proportional to 394.71, 587.55 and 392.64

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Solution

The fourth proportional to 394.71, 587.55 and 392.64 is: 584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.71 : 587.55 = 392.64 : x
  2. Step 2: Convert to fraction form
    394.71/587.55 = 392.64/x
  3. Step 3: Cross multiply
    394.71x = 587.55 × 392.64
  4. Step 4: Simplify right side
    394.71x = 230,695.63
  5. Step 5: Solve for x
    x = 230,695.63/394.71
  6. Step 6: Final answer
    x = 584.47

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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.