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Finding the Fourth Proportional to 509.42, 763.64 and 252.62

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Solution

The fourth proportional to 509.42, 763.64 and 252.62 is: 378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.42 : 763.64 = 252.62 : x
  2. Step 2: Convert to fraction form
    509.42/763.64 = 252.62/x
  3. Step 3: Cross multiply
    509.42x = 763.64 × 252.62
  4. Step 4: Simplify right side
    509.42x = 192,910.74
  5. Step 5: Solve for x
    x = 192,910.74/509.42
  6. Step 6: Final answer
    x = 378.69

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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.