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Finding the Fourth Proportional to 520.29, 774.90 and 505.94

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Solution

The fourth proportional to 520.29, 774.90 and 505.94 is: 753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.29 : 774.90 = 505.94 : x
  2. Step 2: Convert to fraction form
    520.29/774.90 = 505.94/x
  3. Step 3: Cross multiply
    520.29x = 774.90 × 505.94
  4. Step 4: Simplify right side
    520.29x = 392,049.03
  5. Step 5: Solve for x
    x = 392,049.03/520.29
  6. Step 6: Final answer
    x = 753.52

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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.