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Finding the Fourth Proportional to 650.42, 975.63 and 163.46

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Solution

The fourth proportional to 650.42, 975.63 and 163.46 is: 245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.42 : 975.63 = 163.46 : x
  2. Step 2: Convert to fraction form
    650.42/975.63 = 163.46/x
  3. Step 3: Cross multiply
    650.42x = 975.63 × 163.46
  4. Step 4: Simplify right side
    650.42x = 159,479.53
  5. Step 5: Solve for x
    x = 159,479.53/650.42
  6. Step 6: Final answer
    x = 245.20

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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.