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Finding the Fourth Proportional to 819.70, 1,230.60 and 510.58

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Solution

The fourth proportional to 819.70, 1,230.60 and 510.58 is: 766.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.70 : 1,230.60 = 510.58 : x
  2. Step 2: Convert to fraction form
    819.70/1,230.60 = 510.58/x
  3. Step 3: Cross multiply
    819.70x = 1,230.60 × 510.58
  4. Step 4: Simplify right side
    819.70x = 628,319.75
  5. Step 5: Solve for x
    x = 628,319.75/819.70
  6. Step 6: Final answer
    x = 766.52

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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.