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Finding the Fourth Proportional to 521.69, 777.52 and 520.88

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Solution

The fourth proportional to 521.69, 777.52 and 520.88 is: 776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.69 : 777.52 = 520.88 : x
  2. Step 2: Convert to fraction form
    521.69/777.52 = 520.88/x
  3. Step 3: Cross multiply
    521.69x = 777.52 × 520.88
  4. Step 4: Simplify right side
    521.69x = 404,992.01
  5. Step 5: Solve for x
    x = 404,992.01/521.69
  6. Step 6: Final answer
    x = 776.31

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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.