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Finding the Fourth Proportional to 2,278.61, 3,417.93 and 635.17

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Solution

The fourth proportional to 2,278.61, 3,417.93 and 635.17 is: 952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.61 : 3,417.93 = 635.17 : x
  2. Step 2: Convert to fraction form
    2,278.61/3,417.93 = 635.17/x
  3. Step 3: Cross multiply
    2,278.61x = 3,417.93 × 635.17
  4. Step 4: Simplify right side
    2,278.61x = 2,170,964.32
  5. Step 5: Solve for x
    x = 2,170,964.32/2,278.61
  6. Step 6: Final answer
    x = 952.76

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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.