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Finding the Fourth Proportional to 809.38, 1,117.14 and 754.66

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Solution

The fourth proportional to 809.38, 1,117.14 and 754.66 is: 1,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.38 : 1,117.14 = 754.66 : x
  2. Step 2: Convert to fraction form
    809.38/1,117.14 = 754.66/x
  3. Step 3: Cross multiply
    809.38x = 1,117.14 × 754.66
  4. Step 4: Simplify right side
    809.38x = 843,060.87
  5. Step 5: Solve for x
    x = 843,060.87/809.38
  6. Step 6: Final answer
    x = 1,041.61

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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.