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Finding the Fourth Proportional to 831.60, 1,245.24 and 444.96

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Solution

The fourth proportional to 831.60, 1,245.24 and 444.96 is: 666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.60 : 1,245.24 = 444.96 : x
  2. Step 2: Convert to fraction form
    831.60/1,245.24 = 444.96/x
  3. Step 3: Cross multiply
    831.60x = 1,245.24 × 444.96
  4. Step 4: Simplify right side
    831.60x = 554,081.99
  5. Step 5: Solve for x
    x = 554,081.99/831.60
  6. Step 6: Final answer
    x = 666.28

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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.