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Finding the Fourth Proportional to 852.99, 1,272.98 and 831.12

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Solution

The fourth proportional to 852.99, 1,272.98 and 831.12 is: 1,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.99 : 1,272.98 = 831.12 : x
  2. Step 2: Convert to fraction form
    852.99/1,272.98 = 831.12/x
  3. Step 3: Cross multiply
    852.99x = 1,272.98 × 831.12
  4. Step 4: Simplify right side
    852.99x = 1,057,999.14
  5. Step 5: Solve for x
    x = 1,057,999.14/852.99
  6. Step 6: Final answer
    x = 1,240.34

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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.