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Finding the Fourth Proportional to 1,266.91, 1,746.92 and 1,089.68

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Solution

The fourth proportional to 1,266.91, 1,746.92 and 1,089.68 is: 1,502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.91 : 1,746.92 = 1,089.68 : x
  2. Step 2: Convert to fraction form
    1,266.91/1,746.92 = 1,089.68/x
  3. Step 3: Cross multiply
    1,266.91x = 1,746.92 × 1,089.68
  4. Step 4: Simplify right side
    1,266.91x = 1,903,577.78
  5. Step 5: Solve for x
    x = 1,903,577.78/1,266.91
  6. Step 6: Final answer
    x = 1,502.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.