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Finding the Fourth Proportional to 754.18, 1,040.84 and 435.26

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Solution

The fourth proportional to 754.18, 1,040.84 and 435.26 is: 600.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.18 : 1,040.84 = 435.26 : x
  2. Step 2: Convert to fraction form
    754.18/1,040.84 = 435.26/x
  3. Step 3: Cross multiply
    754.18x = 1,040.84 × 435.26
  4. Step 4: Simplify right side
    754.18x = 453,036.02
  5. Step 5: Solve for x
    x = 453,036.02/754.18
  6. Step 6: Final answer
    x = 600.70

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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.