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Finding the Fourth Proportional to 580.80, 800.16 and 405.84

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Solution

The fourth proportional to 580.80, 800.16 and 405.84 is: 559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.80 : 800.16 = 405.84 : x
  2. Step 2: Convert to fraction form
    580.80/800.16 = 405.84/x
  3. Step 3: Cross multiply
    580.80x = 800.16 × 405.84
  4. Step 4: Simplify right side
    580.80x = 324,736.93
  5. Step 5: Solve for x
    x = 324,736.93/580.80
  6. Step 6: Final answer
    x = 559.12

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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.