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Finding the Fourth Proportional to 509.44, 763.57 and 235.55

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Solution

The fourth proportional to 509.44, 763.57 and 235.55 is: 353.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.44 : 763.57 = 235.55 : x
  2. Step 2: Convert to fraction form
    509.44/763.57 = 235.55/x
  3. Step 3: Cross multiply
    509.44x = 763.57 × 235.55
  4. Step 4: Simplify right side
    509.44x = 179,858.91
  5. Step 5: Solve for x
    x = 179,858.91/509.44
  6. Step 6: Final answer
    x = 353.05

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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.