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Finding the Fourth Proportional to 914.82, 1,369.86 and 831.57

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Solution

The fourth proportional to 914.82, 1,369.86 and 831.57 is: 1,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.82 : 1,369.86 = 831.57 : x
  2. Step 2: Convert to fraction form
    914.82/1,369.86 = 831.57/x
  3. Step 3: Cross multiply
    914.82x = 1,369.86 × 831.57
  4. Step 4: Simplify right side
    914.82x = 1,139,134.48
  5. Step 5: Solve for x
    x = 1,139,134.48/914.82
  6. Step 6: Final answer
    x = 1,245.20

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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.