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Finding the Fourth Proportional to 506.93, 759.11 and 344.12

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Solution

The fourth proportional to 506.93, 759.11 and 344.12 is: 515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.93 : 759.11 = 344.12 : x
  2. Step 2: Convert to fraction form
    506.93/759.11 = 344.12/x
  3. Step 3: Cross multiply
    506.93x = 759.11 × 344.12
  4. Step 4: Simplify right side
    506.93x = 261,219.42
  5. Step 5: Solve for x
    x = 261,219.42/506.93
  6. Step 6: Final answer
    x = 515.30

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Double scale
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1.5x scale

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.