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Finding the Fourth Proportional to 509.77, 764.64 and 163.10

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Solution

The fourth proportional to 509.77, 764.64 and 163.10 is: 244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.77 : 764.64 = 163.10 : x
  2. Step 2: Convert to fraction form
    509.77/764.64 = 163.10/x
  3. Step 3: Cross multiply
    509.77x = 764.64 × 163.10
  4. Step 4: Simplify right side
    509.77x = 124,715.58
  5. Step 5: Solve for x
    x = 124,715.58/509.77
  6. Step 6: Final answer
    x = 244.65

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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.