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Finding the Fourth Proportional to 580.29, 799.59 and 405.33

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Solution

The fourth proportional to 580.29, 799.59 and 405.33 is: 558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.29 : 799.59 = 405.33 : x
  2. Step 2: Convert to fraction form
    580.29/799.59 = 405.33/x
  3. Step 3: Cross multiply
    580.29x = 799.59 × 405.33
  4. Step 4: Simplify right side
    580.29x = 324,097.81
  5. Step 5: Solve for x
    x = 324,097.81/580.29
  6. Step 6: Final answer
    x = 558.51

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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.