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Finding the Fourth Proportional to 2,292.58, 3,436.80 and 831.40

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Solution

The fourth proportional to 2,292.58, 3,436.80 and 831.40 is: 1,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.58 : 3,436.80 = 831.40 : x
  2. Step 2: Convert to fraction form
    2,292.58/3,436.80 = 831.40/x
  3. Step 3: Cross multiply
    2,292.58x = 3,436.80 × 831.40
  4. Step 4: Simplify right side
    2,292.58x = 2,857,355.52
  5. Step 5: Solve for x
    x = 2,857,355.52/2,292.58
  6. Step 6: Final answer
    x = 1,246.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.