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Finding the Fourth Proportional to 578.67, 866.06 and 440.94

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Solution

The fourth proportional to 578.67, 866.06 and 440.94 is: 659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.67 : 866.06 = 440.94 : x
  2. Step 2: Convert to fraction form
    578.67/866.06 = 440.94/x
  3. Step 3: Cross multiply
    578.67x = 866.06 × 440.94
  4. Step 4: Simplify right side
    578.67x = 381,878.29
  5. Step 5: Solve for x
    x = 381,878.29/578.67
  6. Step 6: Final answer
    x = 659.92

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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.