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Finding the Fourth Proportional to 743.70, 1,026.30 and 428.97

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Solution

The fourth proportional to 743.70, 1,026.30 and 428.97 is: 591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.70 : 1,026.30 = 428.97 : x
  2. Step 2: Convert to fraction form
    743.70/1,026.30 = 428.97/x
  3. Step 3: Cross multiply
    743.70x = 1,026.30 × 428.97
  4. Step 4: Simplify right side
    743.70x = 440,251.91
  5. Step 5: Solve for x
    x = 440,251.91/743.70
  6. Step 6: Final answer
    x = 591.98

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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.