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Finding the Fourth Proportional to 2,218.78, 3,328.13 and 679.74

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Solution

The fourth proportional to 2,218.78, 3,328.13 and 679.74 is: 1,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.78 : 3,328.13 = 679.74 : x
  2. Step 2: Convert to fraction form
    2,218.78/3,328.13 = 679.74/x
  3. Step 3: Cross multiply
    2,218.78x = 3,328.13 × 679.74
  4. Step 4: Simplify right side
    2,218.78x = 2,262,263.09
  5. Step 5: Solve for x
    x = 2,262,263.09/2,218.78
  6. Step 6: Final answer
    x = 1,019.60

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1.5x scale

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.