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Finding the Fourth Proportional to 764.20, 1,146.12 and 216.37

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Solution

The fourth proportional to 764.20, 1,146.12 and 216.37 is: 324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.20 : 1,146.12 = 216.37 : x
  2. Step 2: Convert to fraction form
    764.20/1,146.12 = 216.37/x
  3. Step 3: Cross multiply
    764.20x = 1,146.12 × 216.37
  4. Step 4: Simplify right side
    764.20x = 247,985.98
  5. Step 5: Solve for x
    x = 247,985.98/764.20
  6. Step 6: Final answer
    x = 324.50

Related Problems

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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.