Home / 1,206.27-1,665.14-814.46

Finding the Fourth Proportional to 1,206.27, 1,665.14 and 814.46

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Solution

The fourth proportional to 1,206.27, 1,665.14 and 814.46 is: 1,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.27 : 1,665.14 = 814.46 : x
  2. Step 2: Convert to fraction form
    1,206.27/1,665.14 = 814.46/x
  3. Step 3: Cross multiply
    1,206.27x = 1,665.14 × 814.46
  4. Step 4: Simplify right side
    1,206.27x = 1,356,177.53
  5. Step 5: Solve for x
    x = 1,356,177.53/1,206.27
  6. Step 6: Final answer
    x = 1,124.27

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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.