Home / 1,264.50-1,743.80-1,165.19

Finding the Fourth Proportional to 1,264.50, 1,743.80 and 1,165.19

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Solution

The fourth proportional to 1,264.50, 1,743.80 and 1,165.19 is: 1,606.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.50 : 1,743.80 = 1,165.19 : x
  2. Step 2: Convert to fraction form
    1,264.50/1,743.80 = 1,165.19/x
  3. Step 3: Cross multiply
    1,264.50x = 1,743.80 × 1,165.19
  4. Step 4: Simplify right side
    1,264.50x = 2,031,843.78
  5. Step 5: Solve for x
    x = 2,031,843.78/1,264.50
  6. Step 6: Final answer
    x = 1,606.84

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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.