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Finding the Fourth Proportional to 588.69, 812.30 and 355.82

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Solution

The fourth proportional to 588.69, 812.30 and 355.82 is: 490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.69 : 812.30 = 355.82 : x
  2. Step 2: Convert to fraction form
    588.69/812.30 = 355.82/x
  3. Step 3: Cross multiply
    588.69x = 812.30 × 355.82
  4. Step 4: Simplify right side
    588.69x = 289,026.75
  5. Step 5: Solve for x
    x = 289,026.75/588.69
  6. Step 6: Final answer
    x = 490.97

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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.