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Finding the Fourth Proportional to 2,278.08, 3,417.09 and 634.64

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Solution

The fourth proportional to 2,278.08, 3,417.09 and 634.64 is: 951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.08 : 3,417.09 = 634.64 : x
  2. Step 2: Convert to fraction form
    2,278.08/3,417.09 = 634.64/x
  3. Step 3: Cross multiply
    2,278.08x = 3,417.09 × 634.64
  4. Step 4: Simplify right side
    2,278.08x = 2,168,604.91
  5. Step 5: Solve for x
    x = 2,168,604.91/2,278.08
  6. Step 6: Final answer
    x = 951.94

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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.