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Finding the Fourth Proportional to 517.78, 776.74 and 152.56

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Solution

The fourth proportional to 517.78, 776.74 and 152.56 is: 228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.78 : 776.74 = 152.56 : x
  2. Step 2: Convert to fraction form
    517.78/776.74 = 152.56/x
  3. Step 3: Cross multiply
    517.78x = 776.74 × 152.56
  4. Step 4: Simplify right side
    517.78x = 118,499.45
  5. Step 5: Solve for x
    x = 118,499.45/517.78
  6. Step 6: Final answer
    x = 228.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.