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Finding the Fourth Proportional to 754, 1,128.30 and 446.02

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Solution

The fourth proportional to 754, 1,128.30 and 446.02 is: 667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    754 : 1,128.30 = 446.02 : x
  2. Step 2: Convert to fraction form
    754/1,128.30 = 446.02/x
  3. Step 3: Cross multiply
    754x = 1,128.30 × 446.02
  4. Step 4: Simplify right side
    754x = 503,244.37
  5. Step 5: Solve for x
    x = 503,244.37/754
  6. Step 6: Final answer
    x = 667.43

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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.