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Finding the Fourth Proportional to 892.92, 1,233.41 and 685.66

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Solution

The fourth proportional to 892.92, 1,233.41 and 685.66 is: 947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.92 : 1,233.41 = 685.66 : x
  2. Step 2: Convert to fraction form
    892.92/1,233.41 = 685.66/x
  3. Step 3: Cross multiply
    892.92x = 1,233.41 × 685.66
  4. Step 4: Simplify right side
    892.92x = 845,699.90
  5. Step 5: Solve for x
    x = 845,699.90/892.92
  6. Step 6: Final answer
    x = 947.12

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1.5x scale

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.