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Finding the Fourth Proportional to 440.77, 659.21 and 392.35

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Solution

The fourth proportional to 440.77, 659.21 and 392.35 is: 586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.77 : 659.21 = 392.35 : x
  2. Step 2: Convert to fraction form
    440.77/659.21 = 392.35/x
  3. Step 3: Cross multiply
    440.77x = 659.21 × 392.35
  4. Step 4: Simplify right side
    440.77x = 258,640.52
  5. Step 5: Solve for x
    x = 258,640.52/440.77
  6. Step 6: Final answer
    x = 586.80

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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.