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Finding the Fourth Proportional to 2,238.64, 3,358.51 and 777.80

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Solution

The fourth proportional to 2,238.64, 3,358.51 and 777.80 is: 1,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.64 : 3,358.51 = 777.80 : x
  2. Step 2: Convert to fraction form
    2,238.64/3,358.51 = 777.80/x
  3. Step 3: Cross multiply
    2,238.64x = 3,358.51 × 777.80
  4. Step 4: Simplify right side
    2,238.64x = 2,612,249.08
  5. Step 5: Solve for x
    x = 2,612,249.08/2,238.64
  6. Step 6: Final answer
    x = 1,166.89

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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.