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Finding the Fourth Proportional to 501.92, 693.96 and 443.60

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Solution

The fourth proportional to 501.92, 693.96 and 443.60 is: 613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.92 : 693.96 = 443.60 : x
  2. Step 2: Convert to fraction form
    501.92/693.96 = 443.60/x
  3. Step 3: Cross multiply
    501.92x = 693.96 × 443.60
  4. Step 4: Simplify right side
    501.92x = 307,840.66
  5. Step 5: Solve for x
    x = 307,840.66/501.92
  6. Step 6: Final answer
    x = 613.33

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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.