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Finding the Fourth Proportional to 578.69, 863.97 and 476.18

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Solution

The fourth proportional to 578.69, 863.97 and 476.18 is: 710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.69 : 863.97 = 476.18 : x
  2. Step 2: Convert to fraction form
    578.69/863.97 = 476.18/x
  3. Step 3: Cross multiply
    578.69x = 863.97 × 476.18
  4. Step 4: Simplify right side
    578.69x = 411,402.37
  5. Step 5: Solve for x
    x = 411,402.37/578.69
  6. Step 6: Final answer
    x = 710.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.