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Finding the Fourth Proportional to 831.57, 1,244.94 and 483.84

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Solution

The fourth proportional to 831.57, 1,244.94 and 483.84 is: 724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.57 : 1,244.94 = 483.84 : x
  2. Step 2: Convert to fraction form
    831.57/1,244.94 = 483.84/x
  3. Step 3: Cross multiply
    831.57x = 1,244.94 × 483.84
  4. Step 4: Simplify right side
    831.57x = 602,351.77
  5. Step 5: Solve for x
    x = 602,351.77/831.57
  6. Step 6: Final answer
    x = 724.35

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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.