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Finding the Fourth Proportional to 538.16, 737.82 and 528.44

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Solution

The fourth proportional to 538.16, 737.82 and 528.44 is: 724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.16 : 737.82 = 528.44 : x
  2. Step 2: Convert to fraction form
    538.16/737.82 = 528.44/x
  3. Step 3: Cross multiply
    538.16x = 737.82 × 528.44
  4. Step 4: Simplify right side
    538.16x = 389,887.27
  5. Step 5: Solve for x
    x = 389,887.27/538.16
  6. Step 6: Final answer
    x = 724.49

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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.