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Finding the Fourth Proportional to 603.03, 831.02 and 428.07

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Solution

The fourth proportional to 603.03, 831.02 and 428.07 is: 589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.03 : 831.02 = 428.07 : x
  2. Step 2: Convert to fraction form
    603.03/831.02 = 428.07/x
  3. Step 3: Cross multiply
    603.03x = 831.02 × 428.07
  4. Step 4: Simplify right side
    603.03x = 355,732.59
  5. Step 5: Solve for x
    x = 355,732.59/603.03
  6. Step 6: Final answer
    x = 589.91

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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.