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Finding the Fourth Proportional to 521.66, 779.99 and 475.76

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Solution

The fourth proportional to 521.66, 779.99 and 475.76 is: 711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.66 : 779.99 = 475.76 : x
  2. Step 2: Convert to fraction form
    521.66/779.99 = 475.76/x
  3. Step 3: Cross multiply
    521.66x = 779.99 × 475.76
  4. Step 4: Simplify right side
    521.66x = 371,081.76
  5. Step 5: Solve for x
    x = 371,081.76/521.66
  6. Step 6: Final answer
    x = 711.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.