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Finding the Fourth Proportional to 894.22, 1,339.29 and 648.22

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Solution

The fourth proportional to 894.22, 1,339.29 and 648.22 is: 970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.22 : 1,339.29 = 648.22 : x
  2. Step 2: Convert to fraction form
    894.22/1,339.29 = 648.22/x
  3. Step 3: Cross multiply
    894.22x = 1,339.29 × 648.22
  4. Step 4: Simplify right side
    894.22x = 868,154.56
  5. Step 5: Solve for x
    x = 868,154.56/894.22
  6. Step 6: Final answer
    x = 970.85

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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.