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Finding the Fourth Proportional to 831.73, 1,247.17 and 283.76

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Solution

The fourth proportional to 831.73, 1,247.17 and 283.76 is: 425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.73 : 1,247.17 = 283.76 : x
  2. Step 2: Convert to fraction form
    831.73/1,247.17 = 283.76/x
  3. Step 3: Cross multiply
    831.73x = 1,247.17 × 283.76
  4. Step 4: Simplify right side
    831.73x = 353,896.96
  5. Step 5: Solve for x
    x = 353,896.96/831.73
  6. Step 6: Final answer
    x = 425.50

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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.