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Finding the Fourth Proportional to 842.74, 1,161.60 and 665.38

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Solution

The fourth proportional to 842.74, 1,161.60 and 665.38 is: 917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.74 : 1,161.60 = 665.38 : x
  2. Step 2: Convert to fraction form
    842.74/1,161.60 = 665.38/x
  3. Step 3: Cross multiply
    842.74x = 1,161.60 × 665.38
  4. Step 4: Simplify right side
    842.74x = 772,905.41
  5. Step 5: Solve for x
    x = 772,905.41/842.74
  6. Step 6: Final answer
    x = 917.13

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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.