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Finding the Fourth Proportional to 841.20, 1,161.18 and 753.72

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Solution

The fourth proportional to 841.20, 1,161.18 and 753.72 is: 1,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.20 : 1,161.18 = 753.72 : x
  2. Step 2: Convert to fraction form
    841.20/1,161.18 = 753.72/x
  3. Step 3: Cross multiply
    841.20x = 1,161.18 × 753.72
  4. Step 4: Simplify right side
    841.20x = 875,204.59
  5. Step 5: Solve for x
    x = 875,204.59/841.20
  6. Step 6: Final answer
    x = 1,040.42

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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.