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Finding the Fourth Proportional to 865.71, 1,194.15 and 617.11

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Solution

The fourth proportional to 865.71, 1,194.15 and 617.11 is: 851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.71 : 1,194.15 = 617.11 : x
  2. Step 2: Convert to fraction form
    865.71/1,194.15 = 617.11/x
  3. Step 3: Cross multiply
    865.71x = 1,194.15 × 617.11
  4. Step 4: Simplify right side
    865.71x = 736,924.89
  5. Step 5: Solve for x
    x = 736,924.89/865.71
  6. Step 6: Final answer
    x = 851.24

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.