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Finding the Fourth Proportional to 831.66, 1,147.86 and 500.28

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Solution

The fourth proportional to 831.66, 1,147.86 and 500.28 is: 690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.66 : 1,147.86 = 500.28 : x
  2. Step 2: Convert to fraction form
    831.66/1,147.86 = 500.28/x
  3. Step 3: Cross multiply
    831.66x = 1,147.86 × 500.28
  4. Step 4: Simplify right side
    831.66x = 574,251.40
  5. Step 5: Solve for x
    x = 574,251.40/831.66
  6. Step 6: Final answer
    x = 690.49

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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.