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Finding the Fourth Proportional to 560.98, 774.24 and 361.75

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Solution

The fourth proportional to 560.98, 774.24 and 361.75 is: 499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.98 : 774.24 = 361.75 : x
  2. Step 2: Convert to fraction form
    560.98/774.24 = 361.75/x
  3. Step 3: Cross multiply
    560.98x = 774.24 × 361.75
  4. Step 4: Simplify right side
    560.98x = 280,081.32
  5. Step 5: Solve for x
    x = 280,081.32/560.98
  6. Step 6: Final answer
    x = 499.27

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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.