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Finding the Fourth Proportional to 2,215.84, 3,322.98 and 655.43

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Solution

The fourth proportional to 2,215.84, 3,322.98 and 655.43 is: 982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.84 : 3,322.98 = 655.43 : x
  2. Step 2: Convert to fraction form
    2,215.84/3,322.98 = 655.43/x
  3. Step 3: Cross multiply
    2,215.84x = 3,322.98 × 655.43
  4. Step 4: Simplify right side
    2,215.84x = 2,177,980.78
  5. Step 5: Solve for x
    x = 2,177,980.78/2,215.84
  6. Step 6: Final answer
    x = 982.91

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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.