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Finding the Fourth Proportional to 905.26, 1,250.14 and 773.50

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Solution

The fourth proportional to 905.26, 1,250.14 and 773.50 is: 1,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.26 : 1,250.14 = 773.50 : x
  2. Step 2: Convert to fraction form
    905.26/1,250.14 = 773.50/x
  3. Step 3: Cross multiply
    905.26x = 1,250.14 × 773.50
  4. Step 4: Simplify right side
    905.26x = 966,983.29
  5. Step 5: Solve for x
    x = 966,983.29/905.26
  6. Step 6: Final answer
    x = 1,068.18

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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.