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Finding the Fourth Proportional to 575.38, 797.38 and 564.44

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Solution

The fourth proportional to 575.38, 797.38 and 564.44 is: 782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.38 : 797.38 = 564.44 : x
  2. Step 2: Convert to fraction form
    575.38/797.38 = 564.44/x
  3. Step 3: Cross multiply
    575.38x = 797.38 × 564.44
  4. Step 4: Simplify right side
    575.38x = 450,073.17
  5. Step 5: Solve for x
    x = 450,073.17/575.38
  6. Step 6: Final answer
    x = 782.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.