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Finding the Fourth Proportional to 842.42, 1,162.10 and 510.73

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Solution

The fourth proportional to 842.42, 1,162.10 and 510.73 is: 704.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.42 : 1,162.10 = 510.73 : x
  2. Step 2: Convert to fraction form
    842.42/1,162.10 = 510.73/x
  3. Step 3: Cross multiply
    842.42x = 1,162.10 × 510.73
  4. Step 4: Simplify right side
    842.42x = 593,517.70
  5. Step 5: Solve for x
    x = 593,517.70/842.42
  6. Step 6: Final answer
    x = 704.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.