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Finding the Fourth Proportional to 560.55, 773.91 and 361.48

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Solution

The fourth proportional to 560.55, 773.91 and 361.48 is: 499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.55 : 773.91 = 361.48 : x
  2. Step 2: Convert to fraction form
    560.55/773.91 = 361.48/x
  3. Step 3: Cross multiply
    560.55x = 773.91 × 361.48
  4. Step 4: Simplify right side
    560.55x = 279,752.99
  5. Step 5: Solve for x
    x = 279,752.99/560.55
  6. Step 6: Final answer
    x = 499.07

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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.