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Finding the Fourth Proportional to 521.17, 779.83 and 367.47

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Solution

The fourth proportional to 521.17, 779.83 and 367.47 is: 549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.17 : 779.83 = 367.47 : x
  2. Step 2: Convert to fraction form
    521.17/779.83 = 367.47/x
  3. Step 3: Cross multiply
    521.17x = 779.83 × 367.47
  4. Step 4: Simplify right side
    521.17x = 286,563.21
  5. Step 5: Solve for x
    x = 286,563.21/521.17
  6. Step 6: Final answer
    x = 549.85

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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.