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Finding the Fourth Proportional to 896.08, 1,235.41 and 647.46

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Solution

The fourth proportional to 896.08, 1,235.41 and 647.46 is: 892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.08 : 1,235.41 = 647.46 : x
  2. Step 2: Convert to fraction form
    896.08/1,235.41 = 647.46/x
  3. Step 3: Cross multiply
    896.08x = 1,235.41 × 647.46
  4. Step 4: Simplify right side
    896.08x = 799,872.38
  5. Step 5: Solve for x
    x = 799,872.38/896.08
  6. Step 6: Final answer
    x = 892.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.