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Finding the Fourth Proportional to 1,266.88, 1,900.21 and 898.27

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Solution

The fourth proportional to 1,266.88, 1,900.21 and 898.27 is: 1,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.88 : 1,900.21 = 898.27 : x
  2. Step 2: Convert to fraction form
    1,266.88/1,900.21 = 898.27/x
  3. Step 3: Cross multiply
    1,266.88x = 1,900.21 × 898.27
  4. Step 4: Simplify right side
    1,266.88x = 1,706,892.54
  5. Step 5: Solve for x
    x = 1,706,892.54/1,266.88
  6. Step 6: Final answer
    x = 1,347.32

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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.