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Finding the Fourth Proportional to 553.08, 759.36 and 538.80

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Solution

The fourth proportional to 553.08, 759.36 and 538.80 is: 739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.08 : 759.36 = 538.80 : x
  2. Step 2: Convert to fraction form
    553.08/759.36 = 538.80/x
  3. Step 3: Cross multiply
    553.08x = 759.36 × 538.80
  4. Step 4: Simplify right side
    553.08x = 409,143.17
  5. Step 5: Solve for x
    x = 409,143.17/553.08
  6. Step 6: Final answer
    x = 739.75

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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.