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Finding the Fourth Proportional to 819.48, 1,228.85 and 510.87

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Solution

The fourth proportional to 819.48, 1,228.85 and 510.87 is: 766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.48 : 1,228.85 = 510.87 : x
  2. Step 2: Convert to fraction form
    819.48/1,228.85 = 510.87/x
  3. Step 3: Cross multiply
    819.48x = 1,228.85 × 510.87
  4. Step 4: Simplify right side
    819.48x = 627,780.05
  5. Step 5: Solve for x
    x = 627,780.05/819.48
  6. Step 6: Final answer
    x = 766.07

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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.