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Finding the Fourth Proportional to 2,278.06, 3,416.70 and 634.17

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Solution

The fourth proportional to 2,278.06, 3,416.70 and 634.17 is: 951.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.06 : 3,416.70 = 634.17 : x
  2. Step 2: Convert to fraction form
    2,278.06/3,416.70 = 634.17/x
  3. Step 3: Cross multiply
    2,278.06x = 3,416.70 × 634.17
  4. Step 4: Simplify right side
    2,278.06x = 2,166,768.64
  5. Step 5: Solve for x
    x = 2,166,768.64/2,278.06
  6. Step 6: Final answer
    x = 951.15

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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.