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Finding the Fourth Proportional to 831.46, 1,146.78 and 499.78

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Solution

The fourth proportional to 831.46, 1,146.78 and 499.78 is: 689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.46 : 1,146.78 = 499.78 : x
  2. Step 2: Convert to fraction form
    831.46/1,146.78 = 499.78/x
  3. Step 3: Cross multiply
    831.46x = 1,146.78 × 499.78
  4. Step 4: Simplify right side
    831.46x = 573,137.71
  5. Step 5: Solve for x
    x = 573,137.71/831.46
  6. Step 6: Final answer
    x = 689.31

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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.