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Finding the Fourth Proportional to 588.43, 812.13 and 423.19

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Solution

The fourth proportional to 588.43, 812.13 and 423.19 is: 584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.43 : 812.13 = 423.19 : x
  2. Step 2: Convert to fraction form
    588.43/812.13 = 423.19/x
  3. Step 3: Cross multiply
    588.43x = 812.13 × 423.19
  4. Step 4: Simplify right side
    588.43x = 343,684.72
  5. Step 5: Solve for x
    x = 343,684.72/588.43
  6. Step 6: Final answer
    x = 584.07

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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.