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Finding the Fourth Proportional to 831.87, 1,246.24 and 420.01

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Solution

The fourth proportional to 831.87, 1,246.24 and 420.01 is: 629.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.87 : 1,246.24 = 420.01 : x
  2. Step 2: Convert to fraction form
    831.87/1,246.24 = 420.01/x
  3. Step 3: Cross multiply
    831.87x = 1,246.24 × 420.01
  4. Step 4: Simplify right side
    831.87x = 523,433.26
  5. Step 5: Solve for x
    x = 523,433.26/831.87
  6. Step 6: Final answer
    x = 629.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.