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Finding the Fourth Proportional to 842.19, 1,162.14 and 562.74

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Solution

The fourth proportional to 842.19, 1,162.14 and 562.74 is: 776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.19 : 1,162.14 = 562.74 : x
  2. Step 2: Convert to fraction form
    842.19/1,162.14 = 562.74/x
  3. Step 3: Cross multiply
    842.19x = 1,162.14 × 562.74
  4. Step 4: Simplify right side
    842.19x = 653,982.66
  5. Step 5: Solve for x
    x = 653,982.66/842.19
  6. Step 6: Final answer
    x = 776.53

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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.