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Finding the Fourth Proportional to 560.50, 772.89 and 385.78

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Solution

The fourth proportional to 560.50, 772.89 and 385.78 is: 531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.50 : 772.89 = 385.78 : x
  2. Step 2: Convert to fraction form
    560.50/772.89 = 385.78/x
  3. Step 3: Cross multiply
    560.50x = 772.89 × 385.78
  4. Step 4: Simplify right side
    560.50x = 298,165.50
  5. Step 5: Solve for x
    x = 298,165.50/560.50
  6. Step 6: Final answer
    x = 531.96

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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.