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Finding the Fourth Proportional to 754.75, 1,041.60 and 460.09

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Solution

The fourth proportional to 754.75, 1,041.60 and 460.09 is: 634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.75 : 1,041.60 = 460.09 : x
  2. Step 2: Convert to fraction form
    754.75/1,041.60 = 460.09/x
  3. Step 3: Cross multiply
    754.75x = 1,041.60 × 460.09
  4. Step 4: Simplify right side
    754.75x = 479,229.74
  5. Step 5: Solve for x
    x = 479,229.74/754.75
  6. Step 6: Final answer
    x = 634.95

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1.5x scale

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.