Home / 1,206.14-1,809.28-384.42

Finding the Fourth Proportional to 1,206.14, 1,809.28 and 384.42

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Solution

The fourth proportional to 1,206.14, 1,809.28 and 384.42 is: 576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.14 : 1,809.28 = 384.42 : x
  2. Step 2: Convert to fraction form
    1,206.14/1,809.28 = 384.42/x
  3. Step 3: Cross multiply
    1,206.14x = 1,809.28 × 384.42
  4. Step 4: Simplify right side
    1,206.14x = 695,523.42
  5. Step 5: Solve for x
    x = 695,523.42/1,206.14
  6. Step 6: Final answer
    x = 576.65

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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.