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Finding the Fourth Proportional to 831.07, 1,246.49 and 214.78

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Solution

The fourth proportional to 831.07, 1,246.49 and 214.78 is: 322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.07 : 1,246.49 = 214.78 : x
  2. Step 2: Convert to fraction form
    831.07/1,246.49 = 214.78/x
  3. Step 3: Cross multiply
    831.07x = 1,246.49 × 214.78
  4. Step 4: Simplify right side
    831.07x = 267,721.12
  5. Step 5: Solve for x
    x = 267,721.12/831.07
  6. Step 6: Final answer
    x = 322.14

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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.