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Finding the Fourth Proportional to 819.39, 1,230.31 and 705.07

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Solution

The fourth proportional to 819.39, 1,230.31 and 705.07 is: 1,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.39 : 1,230.31 = 705.07 : x
  2. Step 2: Convert to fraction form
    819.39/1,230.31 = 705.07/x
  3. Step 3: Cross multiply
    819.39x = 1,230.31 × 705.07
  4. Step 4: Simplify right side
    819.39x = 867,454.67
  5. Step 5: Solve for x
    x = 867,454.67/819.39
  6. Step 6: Final answer
    x = 1,058.66

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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.