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Finding the Fourth Proportional to 851.66, 1,275.89 and 439.77

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Solution

The fourth proportional to 851.66, 1,275.89 and 439.77 is: 658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.66 : 1,275.89 = 439.77 : x
  2. Step 2: Convert to fraction form
    851.66/1,275.89 = 439.77/x
  3. Step 3: Cross multiply
    851.66x = 1,275.89 × 439.77
  4. Step 4: Simplify right side
    851.66x = 561,095.95
  5. Step 5: Solve for x
    x = 561,095.95/851.66
  6. Step 6: Final answer
    x = 658.83

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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.