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Finding the Fourth Proportional to 580.49, 800.73 and 414.33

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Solution

The fourth proportional to 580.49, 800.73 and 414.33 is: 571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.49 : 800.73 = 414.33 : x
  2. Step 2: Convert to fraction form
    580.49/800.73 = 414.33/x
  3. Step 3: Cross multiply
    580.49x = 800.73 × 414.33
  4. Step 4: Simplify right side
    580.49x = 331,766.46
  5. Step 5: Solve for x
    x = 331,766.46/580.49
  6. Step 6: Final answer
    x = 571.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.