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Finding the Fourth Proportional to 754.58, 1,041.34 and 459.78

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Solution

The fourth proportional to 754.58, 1,041.34 and 459.78 is: 634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.58 : 1,041.34 = 459.78 : x
  2. Step 2: Convert to fraction form
    754.58/1,041.34 = 459.78/x
  3. Step 3: Cross multiply
    754.58x = 1,041.34 × 459.78
  4. Step 4: Simplify right side
    754.58x = 478,787.31
  5. Step 5: Solve for x
    x = 478,787.31/754.58
  6. Step 6: Final answer
    x = 634.51

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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.