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Finding the Fourth Proportional to 842.11, 1,161.71 and 654.32

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Solution

The fourth proportional to 842.11, 1,161.71 and 654.32 is: 902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.11 : 1,161.71 = 654.32 : x
  2. Step 2: Convert to fraction form
    842.11/1,161.71 = 654.32/x
  3. Step 3: Cross multiply
    842.11x = 1,161.71 × 654.32
  4. Step 4: Simplify right side
    842.11x = 760,126.55
  5. Step 5: Solve for x
    x = 760,126.55/842.11
  6. Step 6: Final answer
    x = 902.64

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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.