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Finding the Fourth Proportional to 2,266.20, 3,398.76 and 622.87

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Solution

The fourth proportional to 2,266.20, 3,398.76 and 622.87 is: 934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.20 : 3,398.76 = 622.87 : x
  2. Step 2: Convert to fraction form
    2,266.20/3,398.76 = 622.87/x
  3. Step 3: Cross multiply
    2,266.20x = 3,398.76 × 622.87
  4. Step 4: Simplify right side
    2,266.20x = 2,116,985.64
  5. Step 5: Solve for x
    x = 2,116,985.64/2,266.20
  6. Step 6: Final answer
    x = 934.16

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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.