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Finding the Fourth Proportional to 518.29, 777.67 and 364.52

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Solution

The fourth proportional to 518.29, 777.67 and 364.52 is: 546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.29 : 777.67 = 364.52 : x
  2. Step 2: Convert to fraction form
    518.29/777.67 = 364.52/x
  3. Step 3: Cross multiply
    518.29x = 777.67 × 364.52
  4. Step 4: Simplify right side
    518.29x = 283,477.30
  5. Step 5: Solve for x
    x = 283,477.30/518.29
  6. Step 6: Final answer
    x = 546.95

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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.