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Finding the Fourth Proportional to 737.90, 1,018.31 and 406.31

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Solution

The fourth proportional to 737.90, 1,018.31 and 406.31 is: 560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.90 : 1,018.31 = 406.31 : x
  2. Step 2: Convert to fraction form
    737.90/1,018.31 = 406.31/x
  3. Step 3: Cross multiply
    737.90x = 1,018.31 × 406.31
  4. Step 4: Simplify right side
    737.90x = 413,747.50
  5. Step 5: Solve for x
    x = 413,747.50/737.90
  6. Step 6: Final answer
    x = 560.71

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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.