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Finding the Fourth Proportional to 580.25, 863.16 and 574.38

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Solution

The fourth proportional to 580.25, 863.16 and 574.38 is: 854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.25 : 863.16 = 574.38 : x
  2. Step 2: Convert to fraction form
    580.25/863.16 = 574.38/x
  3. Step 3: Cross multiply
    580.25x = 863.16 × 574.38
  4. Step 4: Simplify right side
    580.25x = 495,781.84
  5. Step 5: Solve for x
    x = 495,781.84/580.25
  6. Step 6: Final answer
    x = 854.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.