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Finding the Fourth Proportional to 580.94, 865.36 and 550.16

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Solution

The fourth proportional to 580.94, 865.36 and 550.16 is: 819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.94 : 865.36 = 550.16 : x
  2. Step 2: Convert to fraction form
    580.94/865.36 = 550.16/x
  3. Step 3: Cross multiply
    580.94x = 865.36 × 550.16
  4. Step 4: Simplify right side
    580.94x = 476,086.46
  5. Step 5: Solve for x
    x = 476,086.46/580.94
  6. Step 6: Final answer
    x = 819.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.