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Finding the Fourth Proportional to 894.29, 1,340.08 and 662.81

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Solution

The fourth proportional to 894.29, 1,340.08 and 662.81 is: 993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.29 : 1,340.08 = 662.81 : x
  2. Step 2: Convert to fraction form
    894.29/1,340.08 = 662.81/x
  3. Step 3: Cross multiply
    894.29x = 1,340.08 × 662.81
  4. Step 4: Simplify right side
    894.29x = 888,218.42
  5. Step 5: Solve for x
    x = 888,218.42/894.29
  6. Step 6: Final answer
    x = 993.21

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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.