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Finding the Fourth Proportional to 840.17, 1,252.06 and 831.97

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Solution

The fourth proportional to 840.17, 1,252.06 and 831.97 is: 1,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.17 : 1,252.06 = 831.97 : x
  2. Step 2: Convert to fraction form
    840.17/1,252.06 = 831.97/x
  3. Step 3: Cross multiply
    840.17x = 1,252.06 × 831.97
  4. Step 4: Simplify right side
    840.17x = 1,041,675.84
  5. Step 5: Solve for x
    x = 1,041,675.84/840.17
  6. Step 6: Final answer
    x = 1,239.84

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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.