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Finding the Fourth Proportional to 757.84, 1,132.04 and 641.56

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Solution

The fourth proportional to 757.84, 1,132.04 and 641.56 is: 958.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.84 : 1,132.04 = 641.56 : x
  2. Step 2: Convert to fraction form
    757.84/1,132.04 = 641.56/x
  3. Step 3: Cross multiply
    757.84x = 1,132.04 × 641.56
  4. Step 4: Simplify right side
    757.84x = 726,271.58
  5. Step 5: Solve for x
    x = 726,271.58/757.84
  6. Step 6: Final answer
    x = 958.34

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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.