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Finding the Fourth Proportional to 851.28, 1,276.30 and 418.74

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Solution

The fourth proportional to 851.28, 1,276.30 and 418.74 is: 627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.28 : 1,276.30 = 418.74 : x
  2. Step 2: Convert to fraction form
    851.28/1,276.30 = 418.74/x
  3. Step 3: Cross multiply
    851.28x = 1,276.30 × 418.74
  4. Step 4: Simplify right side
    851.28x = 534,437.86
  5. Step 5: Solve for x
    x = 534,437.86/851.28
  6. Step 6: Final answer
    x = 627.81

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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.