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Finding the Fourth Proportional to 538.39, 740.74 and 475.11

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Solution

The fourth proportional to 538.39, 740.74 and 475.11 is: 653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.39 : 740.74 = 475.11 : x
  2. Step 2: Convert to fraction form
    538.39/740.74 = 475.11/x
  3. Step 3: Cross multiply
    538.39x = 740.74 × 475.11
  4. Step 4: Simplify right side
    538.39x = 351,932.98
  5. Step 5: Solve for x
    x = 351,932.98/538.39
  6. Step 6: Final answer
    x = 653.68

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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.