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Finding the Fourth Proportional to 1,378.15, 2,066.99 and 404.02

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Solution

The fourth proportional to 1,378.15, 2,066.99 and 404.02 is: 605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.15 : 2,066.99 = 404.02 : x
  2. Step 2: Convert to fraction form
    1,378.15/2,066.99 = 404.02/x
  3. Step 3: Cross multiply
    1,378.15x = 2,066.99 × 404.02
  4. Step 4: Simplify right side
    1,378.15x = 835,105.30
  5. Step 5: Solve for x
    x = 835,105.30/1,378.15
  6. Step 6: Final answer
    x = 605.96

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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.