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Finding the Fourth Proportional to 743.09, 1,025.42 and 411.53

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Solution

The fourth proportional to 743.09, 1,025.42 and 411.53 is: 567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.09 : 1,025.42 = 411.53 : x
  2. Step 2: Convert to fraction form
    743.09/1,025.42 = 411.53/x
  3. Step 3: Cross multiply
    743.09x = 1,025.42 × 411.53
  4. Step 4: Simplify right side
    743.09x = 421,983.91
  5. Step 5: Solve for x
    x = 421,983.91/743.09
  6. Step 6: Final answer
    x = 567.88

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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.