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Finding the Fourth Proportional to 754.40, 1,131.66 and 260.79

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Solution

The fourth proportional to 754.40, 1,131.66 and 260.79 is: 391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.40 : 1,131.66 = 260.79 : x
  2. Step 2: Convert to fraction form
    754.40/1,131.66 = 260.79/x
  3. Step 3: Cross multiply
    754.40x = 1,131.66 × 260.79
  4. Step 4: Simplify right side
    754.40x = 295,123.39
  5. Step 5: Solve for x
    x = 295,123.39/754.40
  6. Step 6: Final answer
    x = 391.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.