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Finding the Fourth Proportional to 601.53, 831.14 and 478.27

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Solution

The fourth proportional to 601.53, 831.14 and 478.27 is: 660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.53 : 831.14 = 478.27 : x
  2. Step 2: Convert to fraction form
    601.53/831.14 = 478.27/x
  3. Step 3: Cross multiply
    601.53x = 831.14 × 478.27
  4. Step 4: Simplify right side
    601.53x = 397,506.94
  5. Step 5: Solve for x
    x = 397,506.94/601.53
  6. Step 6: Final answer
    x = 660.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.