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Finding the Fourth Proportional to 831.87, 1,248.21 and 485.54

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Solution

The fourth proportional to 831.87, 1,248.21 and 485.54 is: 728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.87 : 1,248.21 = 485.54 : x
  2. Step 2: Convert to fraction form
    831.87/1,248.21 = 485.54/x
  3. Step 3: Cross multiply
    831.87x = 1,248.21 × 485.54
  4. Step 4: Simplify right side
    831.87x = 606,061.34
  5. Step 5: Solve for x
    x = 606,061.34/831.87
  6. Step 6: Final answer
    x = 728.55

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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.