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Finding the Fourth Proportional to 1,494.54, 2,062.40 and 831.36

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Solution

The fourth proportional to 1,494.54, 2,062.40 and 831.36 is: 1,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.54 : 2,062.40 = 831.36 : x
  2. Step 2: Convert to fraction form
    1,494.54/2,062.40 = 831.36/x
  3. Step 3: Cross multiply
    1,494.54x = 2,062.40 × 831.36
  4. Step 4: Simplify right side
    1,494.54x = 1,714,596.86
  5. Step 5: Solve for x
    x = 1,714,596.86/1,494.54
  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.