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Finding the Fourth Proportional to 851.96, 1,278.12 and 505.61

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Solution

The fourth proportional to 851.96, 1,278.12 and 505.61 is: 758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.96 : 1,278.12 = 505.61 : x
  2. Step 2: Convert to fraction form
    851.96/1,278.12 = 505.61/x
  3. Step 3: Cross multiply
    851.96x = 1,278.12 × 505.61
  4. Step 4: Simplify right side
    851.96x = 646,223.86
  5. Step 5: Solve for x
    x = 646,223.86/851.96
  6. Step 6: Final answer
    x = 758.52

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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.