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Finding the Fourth Proportional to 896.48, 1,344.13 and 433.34

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Solution

The fourth proportional to 896.48, 1,344.13 and 433.34 is: 649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.48 : 1,344.13 = 433.34 : x
  2. Step 2: Convert to fraction form
    896.48/1,344.13 = 433.34/x
  3. Step 3: Cross multiply
    896.48x = 1,344.13 × 433.34
  4. Step 4: Simplify right side
    896.48x = 582,465.29
  5. Step 5: Solve for x
    x = 582,465.29/896.48
  6. Step 6: Final answer
    x = 649.72

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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.