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Finding the Fourth Proportional to 809.91, 1,117.09 and 529.70

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Solution

The fourth proportional to 809.91, 1,117.09 and 529.70 is: 730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.91 : 1,117.09 = 529.70 : x
  2. Step 2: Convert to fraction form
    809.91/1,117.09 = 529.70/x
  3. Step 3: Cross multiply
    809.91x = 1,117.09 × 529.70
  4. Step 4: Simplify right side
    809.91x = 591,722.57
  5. Step 5: Solve for x
    x = 591,722.57/809.91
  6. Step 6: Final answer
    x = 730.60

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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.