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Finding the Fourth Proportional to 842.22, 1,162.07 and 510.58

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Solution

The fourth proportional to 842.22, 1,162.07 and 510.58 is: 704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.22 : 1,162.07 = 510.58 : x
  2. Step 2: Convert to fraction form
    842.22/1,162.07 = 510.58/x
  3. Step 3: Cross multiply
    842.22x = 1,162.07 × 510.58
  4. Step 4: Simplify right side
    842.22x = 593,329.70
  5. Step 5: Solve for x
    x = 593,329.70/842.22
  6. Step 6: Final answer
    x = 704.48

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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.