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Finding the Fourth Proportional to 896.66, 1,345.44 and 409.61

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Solution

The fourth proportional to 896.66, 1,345.44 and 409.61 is: 614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.66 : 1,345.44 = 409.61 : x
  2. Step 2: Convert to fraction form
    896.66/1,345.44 = 409.61/x
  3. Step 3: Cross multiply
    896.66x = 1,345.44 × 409.61
  4. Step 4: Simplify right side
    896.66x = 551,105.68
  5. Step 5: Solve for x
    x = 551,105.68/896.66
  6. Step 6: Final answer
    x = 614.62

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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.