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Finding the Fourth Proportional to 521.67, 776.81 and 515.91

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Solution

The fourth proportional to 521.67, 776.81 and 515.91 is: 768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.67 : 776.81 = 515.91 : x
  2. Step 2: Convert to fraction form
    521.67/776.81 = 515.91/x
  3. Step 3: Cross multiply
    521.67x = 776.81 × 515.91
  4. Step 4: Simplify right side
    521.67x = 400,764.05
  5. Step 5: Solve for x
    x = 400,764.05/521.67
  6. Step 6: Final answer
    x = 768.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.