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Finding the Fourth Proportional to 757.60, 1,045.11 and 447.10

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Solution

The fourth proportional to 757.60, 1,045.11 and 447.10 is: 616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.60 : 1,045.11 = 447.10 : x
  2. Step 2: Convert to fraction form
    757.60/1,045.11 = 447.10/x
  3. Step 3: Cross multiply
    757.60x = 1,045.11 × 447.10
  4. Step 4: Simplify right side
    757.60x = 467,268.68
  5. Step 5: Solve for x
    x = 467,268.68/757.60
  6. Step 6: Final answer
    x = 616.77

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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.