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Finding the Fourth Proportional to 820.22, 1,230.36 and 590.14

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Solution

The fourth proportional to 820.22, 1,230.36 and 590.14 is: 885.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.22 : 1,230.36 = 590.14 : x
  2. Step 2: Convert to fraction form
    820.22/1,230.36 = 590.14/x
  3. Step 3: Cross multiply
    820.22x = 1,230.36 × 590.14
  4. Step 4: Simplify right side
    820.22x = 726,084.65
  5. Step 5: Solve for x
    x = 726,084.65/820.22
  6. Step 6: Final answer
    x = 885.23

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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.