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Finding the Fourth Proportional to 809.02, 1,116.57 and 588.97

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Solution

The fourth proportional to 809.02, 1,116.57 and 588.97 is: 812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.02 : 1,116.57 = 588.97 : x
  2. Step 2: Convert to fraction form
    809.02/1,116.57 = 588.97/x
  3. Step 3: Cross multiply
    809.02x = 1,116.57 × 588.97
  4. Step 4: Simplify right side
    809.02x = 657,626.23
  5. Step 5: Solve for x
    x = 657,626.23/809.02
  6. Step 6: Final answer
    x = 812.87

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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.