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Finding the Fourth Proportional to 578.68, 797.94 and 565.24

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Solution

The fourth proportional to 578.68, 797.94 and 565.24 is: 779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.68 : 797.94 = 565.24 : x
  2. Step 2: Convert to fraction form
    578.68/797.94 = 565.24/x
  3. Step 3: Cross multiply
    578.68x = 797.94 × 565.24
  4. Step 4: Simplify right side
    578.68x = 451,027.61
  5. Step 5: Solve for x
    x = 451,027.61/578.68
  6. Step 6: Final answer
    x = 779.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.