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Finding the Fourth Proportional to 521.19, 776.77 and 520.38

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Solution

The fourth proportional to 521.19, 776.77 and 520.38 is: 775.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.19 : 776.77 = 520.38 : x
  2. Step 2: Convert to fraction form
    521.19/776.77 = 520.38/x
  3. Step 3: Cross multiply
    521.19x = 776.77 × 520.38
  4. Step 4: Simplify right side
    521.19x = 404,214.27
  5. Step 5: Solve for x
    x = 404,214.27/521.19
  6. Step 6: Final answer
    x = 775.56

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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.