Home / 1,206.32-1,663.97-926.13

Finding the Fourth Proportional to 1,206.32, 1,663.97 and 926.13

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Solution

The fourth proportional to 1,206.32, 1,663.97 and 926.13 is: 1,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.32 : 1,663.97 = 926.13 : x
  2. Step 2: Convert to fraction form
    1,206.32/1,663.97 = 926.13/x
  3. Step 3: Cross multiply
    1,206.32x = 1,663.97 × 926.13
  4. Step 4: Simplify right side
    1,206.32x = 1,541,053.46
  5. Step 5: Solve for x
    x = 1,541,053.46/1,206.32
  6. Step 6: Final answer
    x = 1,277.48

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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.