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Finding the Fourth Proportional to 851.74, 1,274.86 and 440.31

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Solution

The fourth proportional to 851.74, 1,274.86 and 440.31 is: 659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.74 : 1,274.86 = 440.31 : x
  2. Step 2: Convert to fraction form
    851.74/1,274.86 = 440.31/x
  3. Step 3: Cross multiply
    851.74x = 1,274.86 × 440.31
  4. Step 4: Simplify right side
    851.74x = 561,333.61
  5. Step 5: Solve for x
    x = 561,333.61/851.74
  6. Step 6: Final answer
    x = 659.04

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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.