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Finding the Fourth Proportional to 578.77, 793.50 and 568.40

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Solution

The fourth proportional to 578.77, 793.50 and 568.40 is: 779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.77 : 793.50 = 568.40 : x
  2. Step 2: Convert to fraction form
    578.77/793.50 = 568.40/x
  3. Step 3: Cross multiply
    578.77x = 793.50 × 568.40
  4. Step 4: Simplify right side
    578.77x = 451,025.40
  5. Step 5: Solve for x
    x = 451,025.40/578.77
  6. Step 6: Final answer
    x = 779.28

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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.