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Finding the Fourth Proportional to 560.43, 773.64 and 394.77

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Solution

The fourth proportional to 560.43, 773.64 and 394.77 is: 544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.43 : 773.64 = 394.77 : x
  2. Step 2: Convert to fraction form
    560.43/773.64 = 394.77/x
  3. Step 3: Cross multiply
    560.43x = 773.64 × 394.77
  4. Step 4: Simplify right side
    560.43x = 305,409.86
  5. Step 5: Solve for x
    x = 305,409.86/560.43
  6. Step 6: Final answer
    x = 544.96

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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.