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Finding the Fourth Proportional to 1,301.25, 1,952.19 and 531.75

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Solution

The fourth proportional to 1,301.25, 1,952.19 and 531.75 is: 797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.25 : 1,952.19 = 531.75 : x
  2. Step 2: Convert to fraction form
    1,301.25/1,952.19 = 531.75/x
  3. Step 3: Cross multiply
    1,301.25x = 1,952.19 × 531.75
  4. Step 4: Simplify right side
    1,301.25x = 1,038,077.03
  5. Step 5: Solve for x
    x = 1,038,077.03/1,301.25
  6. Step 6: Final answer
    x = 797.75

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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.