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Finding the Fourth Proportional to 509.94, 764.92 and 125.19

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Solution

The fourth proportional to 509.94, 764.92 and 125.19 is: 187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.94 : 764.92 = 125.19 : x
  2. Step 2: Convert to fraction form
    509.94/764.92 = 125.19/x
  3. Step 3: Cross multiply
    509.94x = 764.92 × 125.19
  4. Step 4: Simplify right side
    509.94x = 95,759.71
  5. Step 5: Solve for x
    x = 95,759.71/509.94
  6. Step 6: Final answer
    x = 187.79

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Double scale
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Similar ratio
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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.