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Finding the Fourth Proportional to 1,266.21, 1,898.04 and 803.11

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Solution

The fourth proportional to 1,266.21, 1,898.04 and 803.11 is: 1,203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.21 : 1,898.04 = 803.11 : x
  2. Step 2: Convert to fraction form
    1,266.21/1,898.04 = 803.11/x
  3. Step 3: Cross multiply
    1,266.21x = 1,898.04 × 803.11
  4. Step 4: Simplify right side
    1,266.21x = 1,524,334.90
  5. Step 5: Solve for x
    x = 1,524,334.90/1,266.21
  6. Step 6: Final answer
    x = 1,203.86

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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.