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Finding the Fourth Proportional to 588.09, 810.74 and 401.39

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Solution

The fourth proportional to 588.09, 810.74 and 401.39 is: 553.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.09 : 810.74 = 401.39 : x
  2. Step 2: Convert to fraction form
    588.09/810.74 = 401.39/x
  3. Step 3: Cross multiply
    588.09x = 810.74 × 401.39
  4. Step 4: Simplify right side
    588.09x = 325,416.87
  5. Step 5: Solve for x
    x = 325,416.87/588.09
  6. Step 6: Final answer
    x = 553.35

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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.