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Finding the Fourth Proportional to 538.02, 744.50 and 459.21

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Solution

The fourth proportional to 538.02, 744.50 and 459.21 is: 635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.02 : 744.50 = 459.21 : x
  2. Step 2: Convert to fraction form
    538.02/744.50 = 459.21/x
  3. Step 3: Cross multiply
    538.02x = 744.50 × 459.21
  4. Step 4: Simplify right side
    538.02x = 341,881.85
  5. Step 5: Solve for x
    x = 341,881.85/538.02
  6. Step 6: Final answer
    x = 635.44

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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.