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Finding the Fourth Proportional to 578.19, 861.90 and 553.89

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Solution

The fourth proportional to 578.19, 861.90 and 553.89 is: 825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.19 : 861.90 = 553.89 : x
  2. Step 2: Convert to fraction form
    578.19/861.90 = 553.89/x
  3. Step 3: Cross multiply
    578.19x = 861.90 × 553.89
  4. Step 4: Simplify right side
    578.19x = 477,397.79
  5. Step 5: Solve for x
    x = 477,397.79/578.19
  6. Step 6: Final answer
    x = 825.68

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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.