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Finding the Fourth Proportional to 896.55, 1,237.68 and 616.89

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Solution

The fourth proportional to 896.55, 1,237.68 and 616.89 is: 851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.55 : 1,237.68 = 616.89 : x
  2. Step 2: Convert to fraction form
    896.55/1,237.68 = 616.89/x
  3. Step 3: Cross multiply
    896.55x = 1,237.68 × 616.89
  4. Step 4: Simplify right side
    896.55x = 763,512.42
  5. Step 5: Solve for x
    x = 763,512.42/896.55
  6. Step 6: Final answer
    x = 851.61

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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.