Home / 1,206.12-1,809.15-384.45

Finding the Fourth Proportional to 1,206.12, 1,809.15 and 384.45

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Solution

The fourth proportional to 1,206.12, 1,809.15 and 384.45 is: 576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.12 : 1,809.15 = 384.45 : x
  2. Step 2: Convert to fraction form
    1,206.12/1,809.15 = 384.45/x
  3. Step 3: Cross multiply
    1,206.12x = 1,809.15 × 384.45
  4. Step 4: Simplify right side
    1,206.12x = 695,527.72
  5. Step 5: Solve for x
    x = 695,527.72/1,206.12
  6. Step 6: Final answer
    x = 576.67

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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.