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Finding the Fourth Proportional to 769.88, 1,150.73 and 670.28

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Solution

The fourth proportional to 769.88, 1,150.73 and 670.28 is: 1,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.88 : 1,150.73 = 670.28 : x
  2. Step 2: Convert to fraction form
    769.88/1,150.73 = 670.28/x
  3. Step 3: Cross multiply
    769.88x = 1,150.73 × 670.28
  4. Step 4: Simplify right side
    769.88x = 771,304.71
  5. Step 5: Solve for x
    x = 771,304.71/769.88
  6. Step 6: Final answer
    x = 1,001.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.