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Finding the Fourth Proportional to 578.14, 792.55 and 567.68

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Solution

The fourth proportional to 578.14, 792.55 and 567.68 is: 778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.14 : 792.55 = 567.68 : x
  2. Step 2: Convert to fraction form
    578.14/792.55 = 567.68/x
  3. Step 3: Cross multiply
    578.14x = 792.55 × 567.68
  4. Step 4: Simplify right side
    578.14x = 449,911.53
  5. Step 5: Solve for x
    x = 449,911.53/578.14
  6. Step 6: Final answer
    x = 778.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.