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Finding the Fourth Proportional to 521.29, 776.39 and 506.94

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Solution

The fourth proportional to 521.29, 776.39 and 506.94 is: 755.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.29 : 776.39 = 506.94 : x
  2. Step 2: Convert to fraction form
    521.29/776.39 = 506.94/x
  3. Step 3: Cross multiply
    521.29x = 776.39 × 506.94
  4. Step 4: Simplify right side
    521.29x = 393,583.15
  5. Step 5: Solve for x
    x = 393,583.15/521.29
  6. Step 6: Final answer
    x = 755.02

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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.