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Finding the Fourth Proportional to 2,212.96, 3,320.01 and 652.90

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Solution

The fourth proportional to 2,212.96, 3,320.01 and 652.90 is: 979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.96 : 3,320.01 = 652.90 : x
  2. Step 2: Convert to fraction form
    2,212.96/3,320.01 = 652.90/x
  3. Step 3: Cross multiply
    2,212.96x = 3,320.01 × 652.90
  4. Step 4: Simplify right side
    2,212.96x = 2,167,643.63
  5. Step 5: Solve for x
    x = 2,167,643.63/2,212.96
  6. Step 6: Final answer
    x = 979.52

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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.