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Finding the Fourth Proportional to 518.26, 781.74 and 488.32

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Solution

The fourth proportional to 518.26, 781.74 and 488.32 is: 736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.26 : 781.74 = 488.32 : x
  2. Step 2: Convert to fraction form
    518.26/781.74 = 488.32/x
  3. Step 3: Cross multiply
    518.26x = 781.74 × 488.32
  4. Step 4: Simplify right side
    518.26x = 381,739.28
  5. Step 5: Solve for x
    x = 381,739.28/518.26
  6. Step 6: Final answer
    x = 736.58

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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.