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Finding the Fourth Proportional to 754.42, 1,129.56 and 638.23

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Solution

The fourth proportional to 754.42, 1,129.56 and 638.23 is: 955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.42 : 1,129.56 = 638.23 : x
  2. Step 2: Convert to fraction form
    754.42/1,129.56 = 638.23/x
  3. Step 3: Cross multiply
    754.42x = 1,129.56 × 638.23
  4. Step 4: Simplify right side
    754.42x = 720,919.08
  5. Step 5: Solve for x
    x = 720,919.08/754.42
  6. Step 6: Final answer
    x = 955.59

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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.