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Finding the Fourth Proportional to 601.94, 831.21 and 463.43

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Solution

The fourth proportional to 601.94, 831.21 and 463.43 is: 639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.94 : 831.21 = 463.43 : x
  2. Step 2: Convert to fraction form
    601.94/831.21 = 463.43/x
  3. Step 3: Cross multiply
    601.94x = 831.21 × 463.43
  4. Step 4: Simplify right side
    601.94x = 385,207.65
  5. Step 5: Solve for x
    x = 385,207.65/601.94
  6. Step 6: Final answer
    x = 639.94

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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.