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Finding the Fourth Proportional to 1,653.92, 2,481.42 and 831.77

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Solution

The fourth proportional to 1,653.92, 2,481.42 and 831.77 is: 1,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.92 : 2,481.42 = 831.77 : x
  2. Step 2: Convert to fraction form
    1,653.92/2,481.42 = 831.77/x
  3. Step 3: Cross multiply
    1,653.92x = 2,481.42 × 831.77
  4. Step 4: Simplify right side
    1,653.92x = 2,063,970.71
  5. Step 5: Solve for x
    x = 2,063,970.71/1,653.92
  6. Step 6: Final answer
    x = 1,247.93

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1.5x scale

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.