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Finding the Fourth Proportional to 588.40, 811.96 and 322.82

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Solution

The fourth proportional to 588.40, 811.96 and 322.82 is: 445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.40 : 811.96 = 322.82 : x
  2. Step 2: Convert to fraction form
    588.40/811.96 = 322.82/x
  3. Step 3: Cross multiply
    588.40x = 811.96 × 322.82
  4. Step 4: Simplify right side
    588.40x = 262,116.93
  5. Step 5: Solve for x
    x = 262,116.93/588.40
  6. Step 6: Final answer
    x = 445.47

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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.