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Finding the Fourth Proportional to 578.16, 863.82 and 551.28

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Solution

The fourth proportional to 578.16, 863.82 and 551.28 is: 823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.16 : 863.82 = 551.28 : x
  2. Step 2: Convert to fraction form
    578.16/863.82 = 551.28/x
  3. Step 3: Cross multiply
    578.16x = 863.82 × 551.28
  4. Step 4: Simplify right side
    578.16x = 476,206.69
  5. Step 5: Solve for x
    x = 476,206.69/578.16
  6. Step 6: Final answer
    x = 823.66

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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.