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Finding the Fourth Proportional to 881.40, 1,216.80 and 831.60

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Solution

The fourth proportional to 881.40, 1,216.80 and 831.60 is: 1,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.40 : 1,216.80 = 831.60 : x
  2. Step 2: Convert to fraction form
    881.40/1,216.80 = 831.60/x
  3. Step 3: Cross multiply
    881.40x = 1,216.80 × 831.60
  4. Step 4: Simplify right side
    881.40x = 1,011,890.88
  5. Step 5: Solve for x
    x = 1,011,890.88/881.40
  6. Step 6: Final answer
    x = 1,148.05

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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.