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Finding the Fourth Proportional to 588.69, 812.38 and 323.14

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Solution

The fourth proportional to 588.69, 812.38 and 323.14 is: 445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.69 : 812.38 = 323.14 : x
  2. Step 2: Convert to fraction form
    588.69/812.38 = 323.14/x
  3. Step 3: Cross multiply
    588.69x = 812.38 × 323.14
  4. Step 4: Simplify right side
    588.69x = 262,510.44
  5. Step 5: Solve for x
    x = 262,510.44/588.69
  6. Step 6: Final answer
    x = 445.92

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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.