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Finding the Fourth Proportional to 603.06, 831.71 and 463.14

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Solution

The fourth proportional to 603.06, 831.71 and 463.14 is: 638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.06 : 831.71 = 463.14 : x
  2. Step 2: Convert to fraction form
    603.06/831.71 = 463.14/x
  3. Step 3: Cross multiply
    603.06x = 831.71 × 463.14
  4. Step 4: Simplify right side
    603.06x = 385,195.85
  5. Step 5: Solve for x
    x = 385,195.85/603.06
  6. Step 6: Final answer
    x = 638.74

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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.