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Finding the Fourth Proportional to 851.16, 1,276.29 and 440.13

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Solution

The fourth proportional to 851.16, 1,276.29 and 440.13 is: 659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.16 : 1,276.29 = 440.13 : x
  2. Step 2: Convert to fraction form
    851.16/1,276.29 = 440.13/x
  3. Step 3: Cross multiply
    851.16x = 1,276.29 × 440.13
  4. Step 4: Simplify right side
    851.16x = 561,733.52
  5. Step 5: Solve for x
    x = 561,733.52/851.16
  6. Step 6: Final answer
    x = 659.96

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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.