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Finding the Fourth Proportional to 603.14, 831.33 and 403.90

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Solution

The fourth proportional to 603.14, 831.33 and 403.90 is: 556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.14 : 831.33 = 403.90 : x
  2. Step 2: Convert to fraction form
    603.14/831.33 = 403.90/x
  3. Step 3: Cross multiply
    603.14x = 831.33 × 403.90
  4. Step 4: Simplify right side
    603.14x = 335,772.11
  5. Step 5: Solve for x
    x = 335,772.11/603.14
  6. Step 6: Final answer
    x = 556.71

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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.