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Finding the Fourth Proportional to 896.34, 1,345.12 and 402.86

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Solution

The fourth proportional to 896.34, 1,345.12 and 402.86 is: 604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.34 : 1,345.12 = 402.86 : x
  2. Step 2: Convert to fraction form
    896.34/1,345.12 = 402.86/x
  3. Step 3: Cross multiply
    896.34x = 1,345.12 × 402.86
  4. Step 4: Simplify right side
    896.34x = 541,895.04
  5. Step 5: Solve for x
    x = 541,895.04/896.34
  6. Step 6: Final answer
    x = 604.56

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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.