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Finding the Fourth Proportional to 1,301.49, 1,951.14 and 521.13

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Solution

The fourth proportional to 1,301.49, 1,951.14 and 521.13 is: 781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.49 : 1,951.14 = 521.13 : x
  2. Step 2: Convert to fraction form
    1,301.49/1,951.14 = 521.13/x
  3. Step 3: Cross multiply
    1,301.49x = 1,951.14 × 521.13
  4. Step 4: Simplify right side
    1,301.49x = 1,016,797.59
  5. Step 5: Solve for x
    x = 1,016,797.59/1,301.49
  6. Step 6: Final answer
    x = 781.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.