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Finding the Fourth Proportional to 820.10, 1,230.76 and 449.93

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Solution

The fourth proportional to 820.10, 1,230.76 and 449.93 is: 675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.10 : 1,230.76 = 449.93 : x
  2. Step 2: Convert to fraction form
    820.10/1,230.76 = 449.93/x
  3. Step 3: Cross multiply
    820.10x = 1,230.76 × 449.93
  4. Step 4: Simplify right side
    820.10x = 553,755.85
  5. Step 5: Solve for x
    x = 553,755.85/820.10
  6. Step 6: Final answer
    x = 675.23

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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.