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Finding the Fourth Proportional to 934.61, 1,291.56 and 757.22

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Solution

The fourth proportional to 934.61, 1,291.56 and 757.22 is: 1,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.61 : 1,291.56 = 757.22 : x
  2. Step 2: Convert to fraction form
    934.61/1,291.56 = 757.22/x
  3. Step 3: Cross multiply
    934.61x = 1,291.56 × 757.22
  4. Step 4: Simplify right side
    934.61x = 977,995.06
  5. Step 5: Solve for x
    x = 977,995.06/934.61
  6. Step 6: Final answer
    x = 1,046.42

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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.