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Finding the Fourth Proportional to 1,419.59, 2,129.21 and 379.65

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Solution

The fourth proportional to 1,419.59, 2,129.21 and 379.65 is: 569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.59 : 2,129.21 = 379.65 : x
  2. Step 2: Convert to fraction form
    1,419.59/2,129.21 = 379.65/x
  3. Step 3: Cross multiply
    1,419.59x = 2,129.21 × 379.65
  4. Step 4: Simplify right side
    1,419.59x = 808,352.68
  5. Step 5: Solve for x
    x = 808,352.68/1,419.59
  6. Step 6: Final answer
    x = 569.43

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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.