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Finding the Fourth Proportional to 851.12, 1,275.77 and 440.15

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Solution

The fourth proportional to 851.12, 1,275.77 and 440.15 is: 659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.12 : 1,275.77 = 440.15 : x
  2. Step 2: Convert to fraction form
    851.12/1,275.77 = 440.15/x
  3. Step 3: Cross multiply
    851.12x = 1,275.77 × 440.15
  4. Step 4: Simplify right side
    851.12x = 561,530.17
  5. Step 5: Solve for x
    x = 561,530.17/851.12
  6. Step 6: Final answer
    x = 659.75

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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.