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Finding the Fourth Proportional to 894.31, 1,342.34 and 432.42

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Solution

The fourth proportional to 894.31, 1,342.34 and 432.42 is: 649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.31 : 1,342.34 = 432.42 : x
  2. Step 2: Convert to fraction form
    894.31/1,342.34 = 432.42/x
  3. Step 3: Cross multiply
    894.31x = 1,342.34 × 432.42
  4. Step 4: Simplify right side
    894.31x = 580,454.66
  5. Step 5: Solve for x
    x = 580,454.66/894.31
  6. Step 6: Final answer
    x = 649.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.