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Finding the Fourth Proportional to 746.38, 1,029.90 and 431.56

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Solution

The fourth proportional to 746.38, 1,029.90 and 431.56 is: 595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.38 : 1,029.90 = 431.56 : x
  2. Step 2: Convert to fraction form
    746.38/1,029.90 = 431.56/x
  3. Step 3: Cross multiply
    746.38x = 1,029.90 × 431.56
  4. Step 4: Simplify right side
    746.38x = 444,463.64
  5. Step 5: Solve for x
    x = 444,463.64/746.38
  6. Step 6: Final answer
    x = 595.49

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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.