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Finding the Fourth Proportional to 2,239.93, 3,360.57 and 779.14

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Solution

The fourth proportional to 2,239.93, 3,360.57 and 779.14 is: 1,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.93 : 3,360.57 = 779.14 : x
  2. Step 2: Convert to fraction form
    2,239.93/3,360.57 = 779.14/x
  3. Step 3: Cross multiply
    2,239.93x = 3,360.57 × 779.14
  4. Step 4: Simplify right side
    2,239.93x = 2,618,354.51
  5. Step 5: Solve for x
    x = 2,618,354.51/2,239.93
  6. Step 6: Final answer
    x = 1,168.94

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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.