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Finding the Fourth Proportional to 1,226.13, 1,839.88 and 678.24

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Solution

The fourth proportional to 1,226.13, 1,839.88 and 678.24 is: 1,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.13 : 1,839.88 = 678.24 : x
  2. Step 2: Convert to fraction form
    1,226.13/1,839.88 = 678.24/x
  3. Step 3: Cross multiply
    1,226.13x = 1,839.88 × 678.24
  4. Step 4: Simplify right side
    1,226.13x = 1,247,880.21
  5. Step 5: Solve for x
    x = 1,247,880.21/1,226.13
  6. Step 6: Final answer
    x = 1,017.74

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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.