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Finding the Fourth Proportional to 1,266.78, 1,900.58 and 689.25

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Solution

The fourth proportional to 1,266.78, 1,900.58 and 689.25 is: 1,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.78 : 1,900.58 = 689.25 : x
  2. Step 2: Convert to fraction form
    1,266.78/1,900.58 = 689.25/x
  3. Step 3: Cross multiply
    1,266.78x = 1,900.58 × 689.25
  4. Step 4: Simplify right side
    1,266.78x = 1,309,971.32
  5. Step 5: Solve for x
    x = 1,309,971.32/1,266.78
  6. Step 6: Final answer
    x = 1,034.10

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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.