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Finding the Fourth Proportional to 517.26, 780.23 and 487.32

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Solution

The fourth proportional to 517.26, 780.23 and 487.32 is: 735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.26 : 780.23 = 487.32 : x
  2. Step 2: Convert to fraction form
    517.26/780.23 = 487.32/x
  3. Step 3: Cross multiply
    517.26x = 780.23 × 487.32
  4. Step 4: Simplify right side
    517.26x = 380,221.68
  5. Step 5: Solve for x
    x = 380,221.68/517.26
  6. Step 6: Final answer
    x = 735.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.