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Finding the Fourth Proportional to 603.44, 831.84 and 472.22

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Solution

The fourth proportional to 603.44, 831.84 and 472.22 is: 650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.44 : 831.84 = 472.22 : x
  2. Step 2: Convert to fraction form
    603.44/831.84 = 472.22/x
  3. Step 3: Cross multiply
    603.44x = 831.84 × 472.22
  4. Step 4: Simplify right side
    603.44x = 392,811.48
  5. Step 5: Solve for x
    x = 392,811.48/603.44
  6. Step 6: Final answer
    x = 650.95

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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.