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Finding the Fourth Proportional to 2,238.81, 3,354.49 and 777.16

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Solution

The fourth proportional to 2,238.81, 3,354.49 and 777.16 is: 1,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.81 : 3,354.49 = 777.16 : x
  2. Step 2: Convert to fraction form
    2,238.81/3,354.49 = 777.16/x
  3. Step 3: Cross multiply
    2,238.81x = 3,354.49 × 777.16
  4. Step 4: Simplify right side
    2,238.81x = 2,606,975.45
  5. Step 5: Solve for x
    x = 2,606,975.45/2,238.81
  6. Step 6: Final answer
    x = 1,164.45

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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.