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Finding the Fourth Proportional to 831.87, 1,147.95 and 500.37

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Solution

The fourth proportional to 831.87, 1,147.95 and 500.37 is: 690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.87 : 1,147.95 = 500.37 : x
  2. Step 2: Convert to fraction form
    831.87/1,147.95 = 500.37/x
  3. Step 3: Cross multiply
    831.87x = 1,147.95 × 500.37
  4. Step 4: Simplify right side
    831.87x = 574,399.74
  5. Step 5: Solve for x
    x = 574,399.74/831.87
  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.