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Finding the Fourth Proportional to 842.75, 1,162.91 and 469.70

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Solution

The fourth proportional to 842.75, 1,162.91 and 469.70 is: 648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.75 : 1,162.91 = 469.70 : x
  2. Step 2: Convert to fraction form
    842.75/1,162.91 = 469.70/x
  3. Step 3: Cross multiply
    842.75x = 1,162.91 × 469.70
  4. Step 4: Simplify right side
    842.75x = 546,215.91
  5. Step 5: Solve for x
    x = 546,215.91/842.75
  6. Step 6: Final answer
    x = 648.13

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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.