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Finding the Fourth Proportional to 842.27, 1,161.77 and 527.36

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Solution

The fourth proportional to 842.27, 1,161.77 and 527.36 is: 727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.27 : 1,161.77 = 527.36 : x
  2. Step 2: Convert to fraction form
    842.27/1,161.77 = 527.36/x
  3. Step 3: Cross multiply
    842.27x = 1,161.77 × 527.36
  4. Step 4: Simplify right side
    842.27x = 612,662.58
  5. Step 5: Solve for x
    x = 612,662.58/842.27
  6. Step 6: Final answer
    x = 727.40

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1.5x scale

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.