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Finding the Fourth Proportional to 831.11, 1,246.88 and 597.12

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Solution

The fourth proportional to 831.11, 1,246.88 and 597.12 is: 895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.11 : 1,246.88 = 597.12 : x
  2. Step 2: Convert to fraction form
    831.11/1,246.88 = 597.12/x
  3. Step 3: Cross multiply
    831.11x = 1,246.88 × 597.12
  4. Step 4: Simplify right side
    831.11x = 744,536.99
  5. Step 5: Solve for x
    x = 744,536.99/831.11
  6. Step 6: Final answer
    x = 895.83

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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.