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Finding the Fourth Proportional to 711.38, 1,067.08 and 419.02

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Solution

The fourth proportional to 711.38, 1,067.08 and 419.02 is: 628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.38 : 1,067.08 = 419.02 : x
  2. Step 2: Convert to fraction form
    711.38/1,067.08 = 419.02/x
  3. Step 3: Cross multiply
    711.38x = 1,067.08 × 419.02
  4. Step 4: Simplify right side
    711.38x = 447,127.86
  5. Step 5: Solve for x
    x = 447,127.86/711.38
  6. Step 6: Final answer
    x = 628.54

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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.