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Finding the Fourth Proportional to 2,213.47, 3,320.05 and 653.57

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Solution

The fourth proportional to 2,213.47, 3,320.05 and 653.57 is: 980.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.47 : 3,320.05 = 653.57 : x
  2. Step 2: Convert to fraction form
    2,213.47/3,320.05 = 653.57/x
  3. Step 3: Cross multiply
    2,213.47x = 3,320.05 × 653.57
  4. Step 4: Simplify right side
    2,213.47x = 2,169,885.08
  5. Step 5: Solve for x
    x = 2,169,885.08/2,213.47
  6. Step 6: Final answer
    x = 980.31

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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.