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Finding the Fourth Proportional to 1,254.17, 1,732.40 and 963.03

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Solution

The fourth proportional to 1,254.17, 1,732.40 and 963.03 is: 1,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.17 : 1,732.40 = 963.03 : x
  2. Step 2: Convert to fraction form
    1,254.17/1,732.40 = 963.03/x
  3. Step 3: Cross multiply
    1,254.17x = 1,732.40 × 963.03
  4. Step 4: Simplify right side
    1,254.17x = 1,668,348.36
  5. Step 5: Solve for x
    x = 1,668,348.36/1,254.17
  6. Step 6: Final answer
    x = 1,330.25

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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.