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Finding the Fourth Proportional to 894.30, 1,234.31 and 540.42

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Solution

The fourth proportional to 894.30, 1,234.31 and 540.42 is: 745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.30 : 1,234.31 = 540.42 : x
  2. Step 2: Convert to fraction form
    894.30/1,234.31 = 540.42/x
  3. Step 3: Cross multiply
    894.30x = 1,234.31 × 540.42
  4. Step 4: Simplify right side
    894.30x = 667,045.81
  5. Step 5: Solve for x
    x = 667,045.81/894.30
  6. Step 6: Final answer
    x = 745.89

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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.