Home / 1,066.20-1,598.67-408.14

Finding the Fourth Proportional to 1,066.20, 1,598.67 and 408.14

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Solution

The fourth proportional to 1,066.20, 1,598.67 and 408.14 is: 611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.20 : 1,598.67 = 408.14 : x
  2. Step 2: Convert to fraction form
    1,066.20/1,598.67 = 408.14/x
  3. Step 3: Cross multiply
    1,066.20x = 1,598.67 × 408.14
  4. Step 4: Simplify right side
    1,066.20x = 652,481.17
  5. Step 5: Solve for x
    x = 652,481.17/1,066.20
  6. Step 6: Final answer
    x = 611.97

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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.