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Finding the Fourth Proportional to 440.47, 658.73 and 392.01

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Solution

The fourth proportional to 440.47, 658.73 and 392.01 is: 586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.47 : 658.73 = 392.01 : x
  2. Step 2: Convert to fraction form
    440.47/658.73 = 392.01/x
  3. Step 3: Cross multiply
    440.47x = 658.73 × 392.01
  4. Step 4: Simplify right side
    440.47x = 258,225.45
  5. Step 5: Solve for x
    x = 258,225.45/440.47
  6. Step 6: Final answer
    x = 586.25

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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.