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Finding the Fourth Proportional to 523.13, 789.21 and 508.55

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Solution

The fourth proportional to 523.13, 789.21 and 508.55 is: 767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.13 : 789.21 = 508.55 : x
  2. Step 2: Convert to fraction form
    523.13/789.21 = 508.55/x
  3. Step 3: Cross multiply
    523.13x = 789.21 × 508.55
  4. Step 4: Simplify right side
    523.13x = 401,348.80
  5. Step 5: Solve for x
    x = 401,348.80/523.13
  6. Step 6: Final answer
    x = 767.21

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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.