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Finding the Fourth Proportional to 517.12, 772.72 and 393.04

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Solution

The fourth proportional to 517.12, 772.72 and 393.04 is: 587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.12 : 772.72 = 393.04 : x
  2. Step 2: Convert to fraction form
    517.12/772.72 = 393.04/x
  3. Step 3: Cross multiply
    517.12x = 772.72 × 393.04
  4. Step 4: Simplify right side
    517.12x = 303,709.17
  5. Step 5: Solve for x
    x = 303,709.17/517.12
  6. Step 6: Final answer
    x = 587.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.