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Finding the Fourth Proportional to 831.83, 1,147.97 and 500.54

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Solution

The fourth proportional to 831.83, 1,147.97 and 500.54 is: 690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.83 : 1,147.97 = 500.54 : x
  2. Step 2: Convert to fraction form
    831.83/1,147.97 = 500.54/x
  3. Step 3: Cross multiply
    831.83x = 1,147.97 × 500.54
  4. Step 4: Simplify right side
    831.83x = 574,596.66
  5. Step 5: Solve for x
    x = 574,596.66/831.83
  6. Step 6: Final answer
    x = 690.77

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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.