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Finding the Fourth Proportional to 553.02, 758.72 and 538.64

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Solution

The fourth proportional to 553.02, 758.72 and 538.64 is: 738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.02 : 758.72 = 538.64 : x
  2. Step 2: Convert to fraction form
    553.02/758.72 = 538.64/x
  3. Step 3: Cross multiply
    553.02x = 758.72 × 538.64
  4. Step 4: Simplify right side
    553.02x = 408,676.94
  5. Step 5: Solve for x
    x = 408,676.94/553.02
  6. Step 6: Final answer
    x = 738.99

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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.