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Finding the Fourth Proportional to 824.18, 1,230.31 and 701.12

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Solution

The fourth proportional to 824.18, 1,230.31 and 701.12 is: 1,046.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.18 : 1,230.31 = 701.12 : x
  2. Step 2: Convert to fraction form
    824.18/1,230.31 = 701.12/x
  3. Step 3: Cross multiply
    824.18x = 1,230.31 × 701.12
  4. Step 4: Simplify right side
    824.18x = 862,594.96
  5. Step 5: Solve for x
    x = 862,594.96/824.18
  6. Step 6: Final answer
    x = 1,046.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.