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Finding the Fourth Proportional to 2,257.74, 3,386.89 and 777.26

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Solution

The fourth proportional to 2,257.74, 3,386.89 and 777.26 is: 1,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.74 : 3,386.89 = 777.26 : x
  2. Step 2: Convert to fraction form
    2,257.74/3,386.89 = 777.26/x
  3. Step 3: Cross multiply
    2,257.74x = 3,386.89 × 777.26
  4. Step 4: Simplify right side
    2,257.74x = 2,632,494.12
  5. Step 5: Solve for x
    x = 2,632,494.12/2,257.74
  6. Step 6: Final answer
    x = 1,165.99

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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.