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Finding the Fourth Proportional to 831.24, 1,146.90 and 499.68

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Solution

The fourth proportional to 831.24, 1,146.90 and 499.68 is: 689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.24 : 1,146.90 = 499.68 : x
  2. Step 2: Convert to fraction form
    831.24/1,146.90 = 499.68/x
  3. Step 3: Cross multiply
    831.24x = 1,146.90 × 499.68
  4. Step 4: Simplify right side
    831.24x = 573,082.99
  5. Step 5: Solve for x
    x = 573,082.99/831.24
  6. Step 6: Final answer
    x = 689.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.