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Finding the Fourth Proportional to 580.92, 867.60 and 520.44

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Solution

The fourth proportional to 580.92, 867.60 and 520.44 is: 777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.92 : 867.60 = 520.44 : x
  2. Step 2: Convert to fraction form
    580.92/867.60 = 520.44/x
  3. Step 3: Cross multiply
    580.92x = 867.60 × 520.44
  4. Step 4: Simplify right side
    580.92x = 451,533.74
  5. Step 5: Solve for x
    x = 451,533.74/580.92
  6. Step 6: Final answer
    x = 777.27

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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.