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Finding the Fourth Proportional to 831.11, 1,246.59 and 214.83

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Solution

The fourth proportional to 831.11, 1,246.59 and 214.83 is: 322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.11 : 1,246.59 = 214.83 : x
  2. Step 2: Convert to fraction form
    831.11/1,246.59 = 214.83/x
  3. Step 3: Cross multiply
    831.11x = 1,246.59 × 214.83
  4. Step 4: Simplify right side
    831.11x = 267,804.93
  5. Step 5: Solve for x
    x = 267,804.93/831.11
  6. Step 6: Final answer
    x = 322.23

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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.