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Finding the Fourth Proportional to 509.12, 763.56 and 252.56

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Solution

The fourth proportional to 509.12, 763.56 and 252.56 is: 378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.12 : 763.56 = 252.56 : x
  2. Step 2: Convert to fraction form
    509.12/763.56 = 252.56/x
  3. Step 3: Cross multiply
    509.12x = 763.56 × 252.56
  4. Step 4: Simplify right side
    509.12x = 192,844.71
  5. Step 5: Solve for x
    x = 192,844.71/509.12
  6. Step 6: Final answer
    x = 378.78

Related Problems

Find fourth proportional to 254.56, 381.78 and 126.28
Half scale
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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.