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Finding the Fourth Proportional to 831.40, 1,244.64 and 615.94

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Solution

The fourth proportional to 831.40, 1,244.64 and 615.94 is: 922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.40 : 1,244.64 = 615.94 : x
  2. Step 2: Convert to fraction form
    831.40/1,244.64 = 615.94/x
  3. Step 3: Cross multiply
    831.40x = 1,244.64 × 615.94
  4. Step 4: Simplify right side
    831.40x = 766,623.56
  5. Step 5: Solve for x
    x = 766,623.56/831.40
  6. Step 6: Final answer
    x = 922.09

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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.