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Finding the Fourth Proportional to 517.40, 775.88 and 243.01

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Solution

The fourth proportional to 517.40, 775.88 and 243.01 is: 364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.40 : 775.88 = 243.01 : x
  2. Step 2: Convert to fraction form
    517.40/775.88 = 243.01/x
  3. Step 3: Cross multiply
    517.40x = 775.88 × 243.01
  4. Step 4: Simplify right side
    517.40x = 188,546.60
  5. Step 5: Solve for x
    x = 188,546.60/517.40
  6. Step 6: Final answer
    x = 364.41

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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.