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Finding the Fourth Proportional to 578.73, 869.32 and 559.29

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Solution

The fourth proportional to 578.73, 869.32 and 559.29 is: 840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.73 : 869.32 = 559.29 : x
  2. Step 2: Convert to fraction form
    578.73/869.32 = 559.29/x
  3. Step 3: Cross multiply
    578.73x = 869.32 × 559.29
  4. Step 4: Simplify right side
    578.73x = 486,201.98
  5. Step 5: Solve for x
    x = 486,201.98/578.73
  6. Step 6: Final answer
    x = 840.12

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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.