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Finding the Fourth Proportional to 809.08, 1,116.38 and 588.13

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Solution

The fourth proportional to 809.08, 1,116.38 and 588.13 is: 811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.08 : 1,116.38 = 588.13 : x
  2. Step 2: Convert to fraction form
    809.08/1,116.38 = 588.13/x
  3. Step 3: Cross multiply
    809.08x = 1,116.38 × 588.13
  4. Step 4: Simplify right side
    809.08x = 656,575.25
  5. Step 5: Solve for x
    x = 656,575.25/809.08
  6. Step 6: Final answer
    x = 811.51

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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.