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Finding the Fourth Proportional to 1,246.96, 1,868.52 and 790

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Solution

The fourth proportional to 1,246.96, 1,868.52 and 790 is: 1,183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.96 : 1,868.52 = 790 : x
  2. Step 2: Convert to fraction form
    1,246.96/1,868.52 = 790/x
  3. Step 3: Cross multiply
    1,246.96x = 1,868.52 × 790
  4. Step 4: Simplify right side
    1,246.96x = 1,476,130.80
  5. Step 5: Solve for x
    x = 1,476,130.80/1,246.96
  6. Step 6: Final answer
    x = 1,183.78

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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.