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Finding the Fourth Proportional to 1,266.76, 1,900.26 and 389.26

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Solution

The fourth proportional to 1,266.76, 1,900.26 and 389.26 is: 583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.76 : 1,900.26 = 389.26 : x
  2. Step 2: Convert to fraction form
    1,266.76/1,900.26 = 389.26/x
  3. Step 3: Cross multiply
    1,266.76x = 1,900.26 × 389.26
  4. Step 4: Simplify right side
    1,266.76x = 739,695.21
  5. Step 5: Solve for x
    x = 739,695.21/1,266.76
  6. Step 6: Final answer
    x = 583.93

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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.