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Finding the Fourth Proportional to 560.43, 773.74 and 361.36

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Solution

The fourth proportional to 560.43, 773.74 and 361.36 is: 498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.43 : 773.74 = 361.36 : x
  2. Step 2: Convert to fraction form
    560.43/773.74 = 361.36/x
  3. Step 3: Cross multiply
    560.43x = 773.74 × 361.36
  4. Step 4: Simplify right side
    560.43x = 279,594.82
  5. Step 5: Solve for x
    x = 279,594.82/560.43
  6. Step 6: Final answer
    x = 498.89

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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.