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Finding the Fourth Proportional to 754.43, 1,041.01 and 435.38

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Solution

The fourth proportional to 754.43, 1,041.01 and 435.38 is: 600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.43 : 1,041.01 = 435.38 : x
  2. Step 2: Convert to fraction form
    754.43/1,041.01 = 435.38/x
  3. Step 3: Cross multiply
    754.43x = 1,041.01 × 435.38
  4. Step 4: Simplify right side
    754.43x = 453,228.64
  5. Step 5: Solve for x
    x = 453,228.64/754.43
  6. Step 6: Final answer
    x = 600.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.