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Finding the Fourth Proportional to 1,226.39, 1,837.77 and 678.74

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Solution

The fourth proportional to 1,226.39, 1,837.77 and 678.74 is: 1,017.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.39 : 1,837.77 = 678.74 : x
  2. Step 2: Convert to fraction form
    1,226.39/1,837.77 = 678.74/x
  3. Step 3: Cross multiply
    1,226.39x = 1,837.77 × 678.74
  4. Step 4: Simplify right side
    1,226.39x = 1,247,368.01
  5. Step 5: Solve for x
    x = 1,247,368.01/1,226.39
  6. Step 6: Final answer
    x = 1,017.11

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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.