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Finding the Fourth Proportional to 894.20, 1,343.36 and 634.85

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Solution

The fourth proportional to 894.20, 1,343.36 and 634.85 is: 953.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.20 : 1,343.36 = 634.85 : x
  2. Step 2: Convert to fraction form
    894.20/1,343.36 = 634.85/x
  3. Step 3: Cross multiply
    894.20x = 1,343.36 × 634.85
  4. Step 4: Simplify right side
    894.20x = 852,832.10
  5. Step 5: Solve for x
    x = 852,832.10/894.20
  6. Step 6: Final answer
    x = 953.74

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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.