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Finding the Fourth Proportional to 2,197, 3,296.04 and 658

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Solution

The fourth proportional to 2,197, 3,296.04 and 658 is: 987.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197 : 3,296.04 = 658 : x
  2. Step 2: Convert to fraction form
    2,197/3,296.04 = 658/x
  3. Step 3: Cross multiply
    2,197x = 3,296.04 × 658
  4. Step 4: Simplify right side
    2,197x = 2,168,794.32
  5. Step 5: Solve for x
    x = 2,168,794.32/2,197
  6. Step 6: Final answer
    x = 987.16

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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.