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Finding the Fourth Proportional to 517.29, 774.85 and 228.93

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Solution

The fourth proportional to 517.29, 774.85 and 228.93 is: 342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.29 : 774.85 = 228.93 : x
  2. Step 2: Convert to fraction form
    517.29/774.85 = 228.93/x
  3. Step 3: Cross multiply
    517.29x = 774.85 × 228.93
  4. Step 4: Simplify right side
    517.29x = 177,386.41
  5. Step 5: Solve for x
    x = 177,386.41/517.29
  6. Step 6: Final answer
    x = 342.91

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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.