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Finding the Fourth Proportional to 578.60, 868.45 and 538.38

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Solution

The fourth proportional to 578.60, 868.45 and 538.38 is: 808.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.60 : 868.45 = 538.38 : x
  2. Step 2: Convert to fraction form
    578.60/868.45 = 538.38/x
  3. Step 3: Cross multiply
    578.60x = 868.45 × 538.38
  4. Step 4: Simplify right side
    578.60x = 467,556.11
  5. Step 5: Solve for x
    x = 467,556.11/578.60
  6. Step 6: Final answer
    x = 808.08

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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.