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Finding the Fourth Proportional to 509.84, 764.41 and 235.78

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Solution

The fourth proportional to 509.84, 764.41 and 235.78 is: 353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.84 : 764.41 = 235.78 : x
  2. Step 2: Convert to fraction form
    509.84/764.41 = 235.78/x
  3. Step 3: Cross multiply
    509.84x = 764.41 × 235.78
  4. Step 4: Simplify right side
    509.84x = 180,232.59
  5. Step 5: Solve for x
    x = 180,232.59/509.84
  6. Step 6: Final answer
    x = 353.51

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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.