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Finding the Fourth Proportional to 819.54, 1,226.57 and 510.32

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Solution

The fourth proportional to 819.54, 1,226.57 and 510.32 is: 763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.54 : 1,226.57 = 510.32 : x
  2. Step 2: Convert to fraction form
    819.54/1,226.57 = 510.32/x
  3. Step 3: Cross multiply
    819.54x = 1,226.57 × 510.32
  4. Step 4: Simplify right side
    819.54x = 625,934.52
  5. Step 5: Solve for x
    x = 625,934.52/819.54
  6. Step 6: Final answer
    x = 763.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.