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Finding the Fourth Proportional to 578.07, 861.37 and 550.20

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Solution

The fourth proportional to 578.07, 861.37 and 550.20 is: 819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.07 : 861.37 = 550.20 : x
  2. Step 2: Convert to fraction form
    578.07/861.37 = 550.20/x
  3. Step 3: Cross multiply
    578.07x = 861.37 × 550.20
  4. Step 4: Simplify right side
    578.07x = 473,924.40
  5. Step 5: Solve for x
    x = 473,924.40/578.07
  6. Step 6: Final answer
    x = 819.84

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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.