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Finding the Fourth Proportional to 588.97, 812.77 and 323.42

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Solution

The fourth proportional to 588.97, 812.77 and 323.42 is: 446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.97 : 812.77 = 323.42 : x
  2. Step 2: Convert to fraction form
    588.97/812.77 = 323.42/x
  3. Step 3: Cross multiply
    588.97x = 812.77 × 323.42
  4. Step 4: Simplify right side
    588.97x = 262,863.23
  5. Step 5: Solve for x
    x = 262,863.23/588.97
  6. Step 6: Final answer
    x = 446.31

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1.5x scale

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.