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Finding the Fourth Proportional to 1,563.01, 2,342.44 and 831.01

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Solution

The fourth proportional to 1,563.01, 2,342.44 and 831.01 is: 1,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.01 : 2,342.44 = 831.01 : x
  2. Step 2: Convert to fraction form
    1,563.01/2,342.44 = 831.01/x
  3. Step 3: Cross multiply
    1,563.01x = 2,342.44 × 831.01
  4. Step 4: Simplify right side
    1,563.01x = 1,946,591.06
  5. Step 5: Solve for x
    x = 1,946,591.06/1,563.01
  6. Step 6: Final answer
    x = 1,245.41

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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.