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Finding the Fourth Proportional to 819.75, 1,131.26 and 509.25

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Solution

The fourth proportional to 819.75, 1,131.26 and 509.25 is: 702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.75 : 1,131.26 = 509.25 : x
  2. Step 2: Convert to fraction form
    819.75/1,131.26 = 509.25/x
  3. Step 3: Cross multiply
    819.75x = 1,131.26 × 509.25
  4. Step 4: Simplify right side
    819.75x = 576,091.61
  5. Step 5: Solve for x
    x = 576,091.61/819.75
  6. Step 6: Final answer
    x = 702.77

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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.