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Finding the Fourth Proportional to 1,494.46, 2,062.44 and 831.30

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Solution

The fourth proportional to 1,494.46, 2,062.44 and 831.30 is: 1,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.46 : 2,062.44 = 831.30 : x
  2. Step 2: Convert to fraction form
    1,494.46/2,062.44 = 831.30/x
  3. Step 3: Cross multiply
    1,494.46x = 2,062.44 × 831.30
  4. Step 4: Simplify right side
    1,494.46x = 1,714,506.37
  5. Step 5: Solve for x
    x = 1,714,506.37/1,494.46
  6. Step 6: Final answer
    x = 1,147.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.