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Finding the Fourth Proportional to 603.03, 831.91 and 416.78

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Solution

The fourth proportional to 603.03, 831.91 and 416.78 is: 574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.03 : 831.91 = 416.78 : x
  2. Step 2: Convert to fraction form
    603.03/831.91 = 416.78/x
  3. Step 3: Cross multiply
    603.03x = 831.91 × 416.78
  4. Step 4: Simplify right side
    603.03x = 346,724.49
  5. Step 5: Solve for x
    x = 346,724.49/603.03
  6. Step 6: Final answer
    x = 574.97

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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.