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Finding the Fourth Proportional to 552.54, 760.83 and 478.86

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Solution

The fourth proportional to 552.54, 760.83 and 478.86 is: 659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.54 : 760.83 = 478.86 : x
  2. Step 2: Convert to fraction form
    552.54/760.83 = 478.86/x
  3. Step 3: Cross multiply
    552.54x = 760.83 × 478.86
  4. Step 4: Simplify right side
    552.54x = 364,331.05
  5. Step 5: Solve for x
    x = 364,331.05/552.54
  6. Step 6: Final answer
    x = 659.37

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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.