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Finding the Fourth Proportional to 1,651.13, 2,476.78 and 418.55

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Solution

The fourth proportional to 1,651.13, 2,476.78 and 418.55 is: 627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.13 : 2,476.78 = 418.55 : x
  2. Step 2: Convert to fraction form
    1,651.13/2,476.78 = 418.55/x
  3. Step 3: Cross multiply
    1,651.13x = 2,476.78 × 418.55
  4. Step 4: Simplify right side
    1,651.13x = 1,036,656.27
  5. Step 5: Solve for x
    x = 1,036,656.27/1,651.13
  6. Step 6: Final answer
    x = 627.85

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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.