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Finding the Fourth Proportional to 711.06, 1,067.04 and 385.98

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Solution

The fourth proportional to 711.06, 1,067.04 and 385.98 is: 579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.06 : 1,067.04 = 385.98 : x
  2. Step 2: Convert to fraction form
    711.06/1,067.04 = 385.98/x
  3. Step 3: Cross multiply
    711.06x = 1,067.04 × 385.98
  4. Step 4: Simplify right side
    711.06x = 411,856.10
  5. Step 5: Solve for x
    x = 411,856.10/711.06
  6. Step 6: Final answer
    x = 579.21

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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.