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Finding the Fourth Proportional to 1,246.66, 1,720.61 and 874.19

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Solution

The fourth proportional to 1,246.66, 1,720.61 and 874.19 is: 1,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.66 : 1,720.61 = 874.19 : x
  2. Step 2: Convert to fraction form
    1,246.66/1,720.61 = 874.19/x
  3. Step 3: Cross multiply
    1,246.66x = 1,720.61 × 874.19
  4. Step 4: Simplify right side
    1,246.66x = 1,504,143.26
  5. Step 5: Solve for x
    x = 1,504,143.26/1,246.66
  6. Step 6: Final answer
    x = 1,206.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.