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Finding the Fourth Proportional to 743.45, 1,026.02 and 411.89

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Solution

The fourth proportional to 743.45, 1,026.02 and 411.89 is: 568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.45 : 1,026.02 = 411.89 : x
  2. Step 2: Convert to fraction form
    743.45/1,026.02 = 411.89/x
  3. Step 3: Cross multiply
    743.45x = 1,026.02 × 411.89
  4. Step 4: Simplify right side
    743.45x = 422,600.96
  5. Step 5: Solve for x
    x = 422,600.96/743.45
  6. Step 6: Final answer
    x = 568.44

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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.