Home / 1,266.90-1,747-1,166.46

Finding the Fourth Proportional to 1,266.90, 1,747 and 1,166.46

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Solution

The fourth proportional to 1,266.90, 1,747 and 1,166.46 is: 1,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.90 : 1,747 = 1,166.46 : x
  2. Step 2: Convert to fraction form
    1,266.90/1,747 = 1,166.46/x
  3. Step 3: Cross multiply
    1,266.90x = 1,747 × 1,166.46
  4. Step 4: Simplify right side
    1,266.90x = 2,037,805.62
  5. Step 5: Solve for x
    x = 2,037,805.62/1,266.90
  6. Step 6: Final answer
    x = 1,608.50

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1.5x scale

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.