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Finding the Fourth Proportional to 1,152.78, 1,591.02 and 680.69

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Solution

The fourth proportional to 1,152.78, 1,591.02 and 680.69 is: 939.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.78 : 1,591.02 = 680.69 : x
  2. Step 2: Convert to fraction form
    1,152.78/1,591.02 = 680.69/x
  3. Step 3: Cross multiply
    1,152.78x = 1,591.02 × 680.69
  4. Step 4: Simplify right side
    1,152.78x = 1,082,991.40
  5. Step 5: Solve for x
    x = 1,082,991.40/1,152.78
  6. Step 6: Final answer
    x = 939.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.