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Finding the Fourth Proportional to 2,278.16, 3,416.90 and 634.54

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Solution

The fourth proportional to 2,278.16, 3,416.90 and 634.54 is: 951.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.16 : 3,416.90 = 634.54 : x
  2. Step 2: Convert to fraction form
    2,278.16/3,416.90 = 634.54/x
  3. Step 3: Cross multiply
    2,278.16x = 3,416.90 × 634.54
  4. Step 4: Simplify right side
    2,278.16x = 2,168,159.73
  5. Step 5: Solve for x
    x = 2,168,159.73/2,278.16
  6. Step 6: Final answer
    x = 951.72

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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.