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Finding the Fourth Proportional to 852.98, 1,287.32 and 831.11

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Solution

The fourth proportional to 852.98, 1,287.32 and 831.11 is: 1,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.98 : 1,287.32 = 831.11 : x
  2. Step 2: Convert to fraction form
    852.98/1,287.32 = 831.11/x
  3. Step 3: Cross multiply
    852.98x = 1,287.32 × 831.11
  4. Step 4: Simplify right side
    852.98x = 1,069,893.93
  5. Step 5: Solve for x
    x = 1,069,893.93/852.98
  6. Step 6: Final answer
    x = 1,254.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.