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Finding the Fourth Proportional to 560.75, 774.18 and 361.68

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Solution

The fourth proportional to 560.75, 774.18 and 361.68 is: 499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.75 : 774.18 = 361.68 : x
  2. Step 2: Convert to fraction form
    560.75/774.18 = 361.68/x
  3. Step 3: Cross multiply
    560.75x = 774.18 × 361.68
  4. Step 4: Simplify right side
    560.75x = 280,002.52
  5. Step 5: Solve for x
    x = 280,002.52/560.75
  6. Step 6: Final answer
    x = 499.34

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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.