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Finding the Fourth Proportional to 842.60, 1,161.89 and 527.66

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Solution

The fourth proportional to 842.60, 1,161.89 and 527.66 is: 727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.60 : 1,161.89 = 527.66 : x
  2. Step 2: Convert to fraction form
    842.60/1,161.89 = 527.66/x
  3. Step 3: Cross multiply
    842.60x = 1,161.89 × 527.66
  4. Step 4: Simplify right side
    842.60x = 613,090.27
  5. Step 5: Solve for x
    x = 613,090.27/842.60
  6. Step 6: Final answer
    x = 727.62

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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.