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Finding the Fourth Proportional to 603.18, 831.92 and 381.92

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Solution

The fourth proportional to 603.18, 831.92 and 381.92 is: 526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.18 : 831.92 = 381.92 : x
  2. Step 2: Convert to fraction form
    603.18/831.92 = 381.92/x
  3. Step 3: Cross multiply
    603.18x = 831.92 × 381.92
  4. Step 4: Simplify right side
    603.18x = 317,720.82
  5. Step 5: Solve for x
    x = 317,720.82/603.18
  6. Step 6: Final answer
    x = 526.74

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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.