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Finding the Fourth Proportional to 743.11, 1,025.54 and 444.49

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Solution

The fourth proportional to 743.11, 1,025.54 and 444.49 is: 613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.11 : 1,025.54 = 444.49 : x
  2. Step 2: Convert to fraction form
    743.11/1,025.54 = 444.49/x
  3. Step 3: Cross multiply
    743.11x = 1,025.54 × 444.49
  4. Step 4: Simplify right side
    743.11x = 455,842.27
  5. Step 5: Solve for x
    x = 455,842.27/743.11
  6. Step 6: Final answer
    x = 613.43

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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.