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Finding the Fourth Proportional to 809.60, 1,117.29 and 514.79

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Solution

The fourth proportional to 809.60, 1,117.29 and 514.79 is: 710.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.60 : 1,117.29 = 514.79 : x
  2. Step 2: Convert to fraction form
    809.60/1,117.29 = 514.79/x
  3. Step 3: Cross multiply
    809.60x = 1,117.29 × 514.79
  4. Step 4: Simplify right side
    809.60x = 575,170.25
  5. Step 5: Solve for x
    x = 575,170.25/809.60
  6. Step 6: Final answer
    x = 710.44

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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.