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Finding the Fourth Proportional to 852.37, 1,270.88 and 831.11

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Solution

The fourth proportional to 852.37, 1,270.88 and 831.11 is: 1,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.37 : 1,270.88 = 831.11 : x
  2. Step 2: Convert to fraction form
    852.37/1,270.88 = 831.11/x
  3. Step 3: Cross multiply
    852.37x = 1,270.88 × 831.11
  4. Step 4: Simplify right side
    852.37x = 1,056,230.57
  5. Step 5: Solve for x
    x = 1,056,230.57/852.37
  6. Step 6: Final answer
    x = 1,239.17

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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.