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Finding the Fourth Proportional to 712.73, 983.21 and 580.16

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Solution

The fourth proportional to 712.73, 983.21 and 580.16 is: 800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.73 : 983.21 = 580.16 : x
  2. Step 2: Convert to fraction form
    712.73/983.21 = 580.16/x
  3. Step 3: Cross multiply
    712.73x = 983.21 × 580.16
  4. Step 4: Simplify right side
    712.73x = 570,418.67
  5. Step 5: Solve for x
    x = 570,418.67/712.73
  6. Step 6: Final answer
    x = 800.33

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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.