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Finding the Fourth Proportional to 752.34, 1,122.76 and 670.33

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Solution

The fourth proportional to 752.34, 1,122.76 and 670.33 is: 1,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.34 : 1,122.76 = 670.33 : x
  2. Step 2: Convert to fraction form
    752.34/1,122.76 = 670.33/x
  3. Step 3: Cross multiply
    752.34x = 1,122.76 × 670.33
  4. Step 4: Simplify right side
    752.34x = 752,619.71
  5. Step 5: Solve for x
    x = 752,619.71/752.34
  6. Step 6: Final answer
    x = 1,000.37

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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.