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Finding the Fourth Proportional to 809.59, 1,117.04 and 588.16

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Solution

The fourth proportional to 809.59, 1,117.04 and 588.16 is: 811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.59 : 1,117.04 = 588.16 : x
  2. Step 2: Convert to fraction form
    809.59/1,117.04 = 588.16/x
  3. Step 3: Cross multiply
    809.59x = 1,117.04 × 588.16
  4. Step 4: Simplify right side
    809.59x = 656,992.66
  5. Step 5: Solve for x
    x = 656,992.66/809.59
  6. Step 6: Final answer
    x = 811.51

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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.