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Finding the Fourth Proportional to 743.52, 1,026.11 and 411.98

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Solution

The fourth proportional to 743.52, 1,026.11 and 411.98 is: 568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.52 : 1,026.11 = 411.98 : x
  2. Step 2: Convert to fraction form
    743.52/1,026.11 = 411.98/x
  3. Step 3: Cross multiply
    743.52x = 1,026.11 × 411.98
  4. Step 4: Simplify right side
    743.52x = 422,732.70
  5. Step 5: Solve for x
    x = 422,732.70/743.52
  6. Step 6: Final answer
    x = 568.56

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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.