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Finding the Fourth Proportional to 509.95, 769.03 and 506.71

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Solution

The fourth proportional to 509.95, 769.03 and 506.71 is: 764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.95 : 769.03 = 506.71 : x
  2. Step 2: Convert to fraction form
    509.95/769.03 = 506.71/x
  3. Step 3: Cross multiply
    509.95x = 769.03 × 506.71
  4. Step 4: Simplify right side
    509.95x = 389,675.19
  5. Step 5: Solve for x
    x = 389,675.19/509.95
  6. Step 6: Final answer
    x = 764.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.