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Finding the Fourth Proportional to 517.66, 774.88 and 386.89

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Solution

The fourth proportional to 517.66, 774.88 and 386.89 is: 579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.66 : 774.88 = 386.89 : x
  2. Step 2: Convert to fraction form
    517.66/774.88 = 386.89/x
  3. Step 3: Cross multiply
    517.66x = 774.88 × 386.89
  4. Step 4: Simplify right side
    517.66x = 299,790.42
  5. Step 5: Solve for x
    x = 299,790.42/517.66
  6. Step 6: Final answer
    x = 579.13

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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.