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Finding the Fourth Proportional to 588.46, 811.72 and 448.33

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Solution

The fourth proportional to 588.46, 811.72 and 448.33 is: 618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.46 : 811.72 = 448.33 : x
  2. Step 2: Convert to fraction form
    588.46/811.72 = 448.33/x
  3. Step 3: Cross multiply
    588.46x = 811.72 × 448.33
  4. Step 4: Simplify right side
    588.46x = 363,918.43
  5. Step 5: Solve for x
    x = 363,918.43/588.46
  6. Step 6: Final answer
    x = 618.43

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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.