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Finding the Fourth Proportional to 752.84, 1,134.27 and 679.79

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Solution

The fourth proportional to 752.84, 1,134.27 and 679.79 is: 1,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.84 : 1,134.27 = 679.79 : x
  2. Step 2: Convert to fraction form
    752.84/1,134.27 = 679.79/x
  3. Step 3: Cross multiply
    752.84x = 1,134.27 × 679.79
  4. Step 4: Simplify right side
    752.84x = 771,068.24
  5. Step 5: Solve for x
    x = 771,068.24/752.84
  6. Step 6: Final answer
    x = 1,024.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.