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Finding the Fourth Proportional to 810.92, 1,117.86 and 635.96

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Solution

The fourth proportional to 810.92, 1,117.86 and 635.96 is: 876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.92 : 1,117.86 = 635.96 : x
  2. Step 2: Convert to fraction form
    810.92/1,117.86 = 635.96/x
  3. Step 3: Cross multiply
    810.92x = 1,117.86 × 635.96
  4. Step 4: Simplify right side
    810.92x = 710,914.25
  5. Step 5: Solve for x
    x = 710,914.25/810.92
  6. Step 6: Final answer
    x = 876.68

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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.