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Finding the Fourth Proportional to 602.26, 831.90 and 445.21

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Solution

The fourth proportional to 602.26, 831.90 and 445.21 is: 614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.26 : 831.90 = 445.21 : x
  2. Step 2: Convert to fraction form
    602.26/831.90 = 445.21/x
  3. Step 3: Cross multiply
    602.26x = 831.90 × 445.21
  4. Step 4: Simplify right side
    602.26x = 370,370.20
  5. Step 5: Solve for x
    x = 370,370.20/602.26
  6. Step 6: Final answer
    x = 614.97

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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.