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Finding the Fourth Proportional to 538.08, 739.02 and 479.76

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Solution

The fourth proportional to 538.08, 739.02 and 479.76 is: 658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.08 : 739.02 = 479.76 : x
  2. Step 2: Convert to fraction form
    538.08/739.02 = 479.76/x
  3. Step 3: Cross multiply
    538.08x = 739.02 × 479.76
  4. Step 4: Simplify right side
    538.08x = 354,552.24
  5. Step 5: Solve for x
    x = 354,552.24/538.08
  6. Step 6: Final answer
    x = 658.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.