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Finding the Fourth Proportional to 561.52, 774.90 and 365.56

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Solution

The fourth proportional to 561.52, 774.90 and 365.56 is: 504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.52 : 774.90 = 365.56 : x
  2. Step 2: Convert to fraction form
    561.52/774.90 = 365.56/x
  3. Step 3: Cross multiply
    561.52x = 774.90 × 365.56
  4. Step 4: Simplify right side
    561.52x = 283,272.44
  5. Step 5: Solve for x
    x = 283,272.44/561.52
  6. Step 6: Final answer
    x = 504.47

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