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Finding the Fourth Proportional to 2,278.76, 3,417.75 and 635.32

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Solution

The fourth proportional to 2,278.76, 3,417.75 and 635.32 is: 952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.76 : 3,417.75 = 635.32 : x
  2. Step 2: Convert to fraction form
    2,278.76/3,417.75 = 635.32/x
  3. Step 3: Cross multiply
    2,278.76x = 3,417.75 × 635.32
  4. Step 4: Simplify right side
    2,278.76x = 2,171,356.39
  5. Step 5: Solve for x
    x = 2,171,356.39/2,278.76
  6. Step 6: Final answer
    x = 952.87

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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.