Home / 1,206.27-1,809.47-385.06

Finding the Fourth Proportional to 1,206.27, 1,809.47 and 385.06

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Solution

The fourth proportional to 1,206.27, 1,809.47 and 385.06 is: 577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.27 : 1,809.47 = 385.06 : x
  2. Step 2: Convert to fraction form
    1,206.27/1,809.47 = 385.06/x
  3. Step 3: Cross multiply
    1,206.27x = 1,809.47 × 385.06
  4. Step 4: Simplify right side
    1,206.27x = 696,754.52
  5. Step 5: Solve for x
    x = 696,754.52/1,206.27
  6. Step 6: Final answer
    x = 577.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.