Home / 1,206.05-1,809.34-384.37

Finding the Fourth Proportional to 1,206.05, 1,809.34 and 384.37

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Solution

The fourth proportional to 1,206.05, 1,809.34 and 384.37 is: 576.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.05 : 1,809.34 = 384.37 : x
  2. Step 2: Convert to fraction form
    1,206.05/1,809.34 = 384.37/x
  3. Step 3: Cross multiply
    1,206.05x = 1,809.34 × 384.37
  4. Step 4: Simplify right side
    1,206.05x = 695,446.97
  5. Step 5: Solve for x
    x = 695,446.97/1,206.05
  6. Step 6: Final answer
    x = 576.63

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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.