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Finding the Fourth Proportional to 517.21, 774.13 and 380.22

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Solution

The fourth proportional to 517.21, 774.13 and 380.22 is: 569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.21 : 774.13 = 380.22 : x
  2. Step 2: Convert to fraction form
    517.21/774.13 = 380.22/x
  3. Step 3: Cross multiply
    517.21x = 774.13 × 380.22
  4. Step 4: Simplify right side
    517.21x = 294,339.71
  5. Step 5: Solve for x
    x = 294,339.71/517.21
  6. Step 6: Final answer
    x = 569.09

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1.5x scale

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.