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Finding the Fourth Proportional to 1,225.21, 1,691.39 and 959.18

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Solution

The fourth proportional to 1,225.21, 1,691.39 and 959.18 is: 1,324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.21 : 1,691.39 = 959.18 : x
  2. Step 2: Convert to fraction form
    1,225.21/1,691.39 = 959.18/x
  3. Step 3: Cross multiply
    1,225.21x = 1,691.39 × 959.18
  4. Step 4: Simplify right side
    1,225.21x = 1,622,347.46
  5. Step 5: Solve for x
    x = 1,622,347.46/1,225.21
  6. Step 6: Final answer
    x = 1,324.14

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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.