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Finding the Fourth Proportional to 511.92, 764.64 and 509.22

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Solution

The fourth proportional to 511.92, 764.64 and 509.22 is: 760.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.92 : 764.64 = 509.22 : x
  2. Step 2: Convert to fraction form
    511.92/764.64 = 509.22/x
  3. Step 3: Cross multiply
    511.92x = 764.64 × 509.22
  4. Step 4: Simplify right side
    511.92x = 389,369.98
  5. Step 5: Solve for x
    x = 389,369.98/511.92
  6. Step 6: Final answer
    x = 760.61

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.