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Finding the Fourth Proportional to 831.54, 1,245.32 and 484.14

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Solution

The fourth proportional to 831.54, 1,245.32 and 484.14 is: 725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.54 : 1,245.32 = 484.14 : x
  2. Step 2: Convert to fraction form
    831.54/1,245.32 = 484.14/x
  3. Step 3: Cross multiply
    831.54x = 1,245.32 × 484.14
  4. Step 4: Simplify right side
    831.54x = 602,909.22
  5. Step 5: Solve for x
    x = 602,909.22/831.54
  6. Step 6: Final answer
    x = 725.05

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Why These Related Problems?

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