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Finding the Fourth Proportional to 578.02, 868 and 359.07

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Solution

The fourth proportional to 578.02, 868 and 359.07 is: 539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.02 : 868 = 359.07 : x
  2. Step 2: Convert to fraction form
    578.02/868 = 359.07/x
  3. Step 3: Cross multiply
    578.02x = 868 × 359.07
  4. Step 4: Simplify right side
    578.02x = 311,672.76
  5. Step 5: Solve for x
    x = 311,672.76/578.02
  6. Step 6: Final answer
    x = 539.21

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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.