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Finding the Fourth Proportional to 894.78, 1,341.54 and 432.42

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Solution

The fourth proportional to 894.78, 1,341.54 and 432.42 is: 648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.78 : 1,341.54 = 432.42 : x
  2. Step 2: Convert to fraction form
    894.78/1,341.54 = 432.42/x
  3. Step 3: Cross multiply
    894.78x = 1,341.54 × 432.42
  4. Step 4: Simplify right side
    894.78x = 580,108.73
  5. Step 5: Solve for x
    x = 580,108.73/894.78
  6. Step 6: Final answer
    x = 648.33

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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.