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Finding the Fourth Proportional to 588.44, 812.06 and 322.91

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Solution

The fourth proportional to 588.44, 812.06 and 322.91 is: 445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.44 : 812.06 = 322.91 : x
  2. Step 2: Convert to fraction form
    588.44/812.06 = 322.91/x
  3. Step 3: Cross multiply
    588.44x = 812.06 × 322.91
  4. Step 4: Simplify right side
    588.44x = 262,218.75
  5. Step 5: Solve for x
    x = 262,218.75/588.44
  6. Step 6: Final answer
    x = 445.62

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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.