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Finding the Fourth Proportional to 603.05, 831.06 and 428.09

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Solution

The fourth proportional to 603.05, 831.06 and 428.09 is: 589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.05 : 831.06 = 428.09 : x
  2. Step 2: Convert to fraction form
    603.05/831.06 = 428.09/x
  3. Step 3: Cross multiply
    603.05x = 831.06 × 428.09
  4. Step 4: Simplify right side
    603.05x = 355,764.32
  5. Step 5: Solve for x
    x = 355,764.32/603.05
  6. Step 6: Final answer
    x = 589.95

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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.