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Finding the Fourth Proportional to 440.87, 659.54 and 342.61

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Solution

The fourth proportional to 440.87, 659.54 and 342.61 is: 512.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.87 : 659.54 = 342.61 : x
  2. Step 2: Convert to fraction form
    440.87/659.54 = 342.61/x
  3. Step 3: Cross multiply
    440.87x = 659.54 × 342.61
  4. Step 4: Simplify right side
    440.87x = 225,964.11
  5. Step 5: Solve for x
    x = 225,964.11/440.87
  6. Step 6: Final answer
    x = 512.55

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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.