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Finding the Fourth Proportional to 440.94, 658.05 and 392.34

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Solution

The fourth proportional to 440.94, 658.05 and 392.34 is: 585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.94 : 658.05 = 392.34 : x
  2. Step 2: Convert to fraction form
    440.94/658.05 = 392.34/x
  3. Step 3: Cross multiply
    440.94x = 658.05 × 392.34
  4. Step 4: Simplify right side
    440.94x = 258,179.34
  5. Step 5: Solve for x
    x = 258,179.34/440.94
  6. Step 6: Final answer
    x = 585.52

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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.