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Finding the Fourth Proportional to 743.73, 1,025.97 and 478.10

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Solution

The fourth proportional to 743.73, 1,025.97 and 478.10 is: 659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.73 : 1,025.97 = 478.10 : x
  2. Step 2: Convert to fraction form
    743.73/1,025.97 = 478.10/x
  3. Step 3: Cross multiply
    743.73x = 1,025.97 × 478.10
  4. Step 4: Simplify right side
    743.73x = 490,517.03
  5. Step 5: Solve for x
    x = 490,517.03/743.73
  6. Step 6: Final answer
    x = 659.53

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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.