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Finding the Fourth Proportional to 831.24, 1,238.22 and 789.12

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Solution

The fourth proportional to 831.24, 1,238.22 and 789.12 is: 1,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.24 : 1,238.22 = 789.12 : x
  2. Step 2: Convert to fraction form
    831.24/1,238.22 = 789.12/x
  3. Step 3: Cross multiply
    831.24x = 1,238.22 × 789.12
  4. Step 4: Simplify right side
    831.24x = 977,104.17
  5. Step 5: Solve for x
    x = 977,104.17/831.24
  6. Step 6: Final answer
    x = 1,175.48

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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.