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Finding the Fourth Proportional to 578.36, 866.52 and 557.03

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Solution

The fourth proportional to 578.36, 866.52 and 557.03 is: 834.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.36 : 866.52 = 557.03 : x
  2. Step 2: Convert to fraction form
    578.36/866.52 = 557.03/x
  3. Step 3: Cross multiply
    578.36x = 866.52 × 557.03
  4. Step 4: Simplify right side
    578.36x = 482,673.30
  5. Step 5: Solve for x
    x = 482,673.30/578.36
  6. Step 6: Final answer
    x = 834.56

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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.