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Finding the Fourth Proportional to 1,262.26, 1,743.75 and 932.50

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Solution

The fourth proportional to 1,262.26, 1,743.75 and 932.50 is: 1,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.26 : 1,743.75 = 932.50 : x
  2. Step 2: Convert to fraction form
    1,262.26/1,743.75 = 932.50/x
  3. Step 3: Cross multiply
    1,262.26x = 1,743.75 × 932.50
  4. Step 4: Simplify right side
    1,262.26x = 1,626,046.88
  5. Step 5: Solve for x
    x = 1,626,046.88/1,262.26
  6. Step 6: Final answer
    x = 1,288.20

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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.