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Finding the Fourth Proportional to 764.01, 1,143.81 and 582.12

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Solution

The fourth proportional to 764.01, 1,143.81 and 582.12 is: 871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.01 : 1,143.81 = 582.12 : x
  2. Step 2: Convert to fraction form
    764.01/1,143.81 = 582.12/x
  3. Step 3: Cross multiply
    764.01x = 1,143.81 × 582.12
  4. Step 4: Simplify right side
    764.01x = 665,834.68
  5. Step 5: Solve for x
    x = 665,834.68/764.01
  6. Step 6: Final answer
    x = 871.50

Related Problems

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Half scale
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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.