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Finding the Fourth Proportional to 752.14, 1,034.40 and 688.42

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Solution

The fourth proportional to 752.14, 1,034.40 and 688.42 is: 946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.14 : 1,034.40 = 688.42 : x
  2. Step 2: Convert to fraction form
    752.14/1,034.40 = 688.42/x
  3. Step 3: Cross multiply
    752.14x = 1,034.40 × 688.42
  4. Step 4: Simplify right side
    752.14x = 712,101.65
  5. Step 5: Solve for x
    x = 712,101.65/752.14
  6. Step 6: Final answer
    x = 946.77

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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.