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Finding the Fourth Proportional to 1,077.38, 1,615.08 and 419.69

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Solution

The fourth proportional to 1,077.38, 1,615.08 and 419.69 is: 629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.38 : 1,615.08 = 419.69 : x
  2. Step 2: Convert to fraction form
    1,077.38/1,615.08 = 419.69/x
  3. Step 3: Cross multiply
    1,077.38x = 1,615.08 × 419.69
  4. Step 4: Simplify right side
    1,077.38x = 677,832.93
  5. Step 5: Solve for x
    x = 677,832.93/1,077.38
  6. Step 6: Final answer
    x = 629.15

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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.