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Finding the Fourth Proportional to 515.88, 779.67 and 506.92

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Solution

The fourth proportional to 515.88, 779.67 and 506.92 is: 766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.88 : 779.67 = 506.92 : x
  2. Step 2: Convert to fraction form
    515.88/779.67 = 506.92/x
  3. Step 3: Cross multiply
    515.88x = 779.67 × 506.92
  4. Step 4: Simplify right side
    515.88x = 395,230.32
  5. Step 5: Solve for x
    x = 395,230.32/515.88
  6. Step 6: Final answer
    x = 766.13

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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.