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Finding the Fourth Proportional to 578.68, 872.85 and 544.99

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Solution

The fourth proportional to 578.68, 872.85 and 544.99 is: 822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.68 : 872.85 = 544.99 : x
  2. Step 2: Convert to fraction form
    578.68/872.85 = 544.99/x
  3. Step 3: Cross multiply
    578.68x = 872.85 × 544.99
  4. Step 4: Simplify right side
    578.68x = 475,694.52
  5. Step 5: Solve for x
    x = 475,694.52/578.68
  6. Step 6: Final answer
    x = 822.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.