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Finding the Fourth Proportional to 538.83, 744.98 and 374.27

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Solution

The fourth proportional to 538.83, 744.98 and 374.27 is: 517.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.83 : 744.98 = 374.27 : x
  2. Step 2: Convert to fraction form
    538.83/744.98 = 374.27/x
  3. Step 3: Cross multiply
    538.83x = 744.98 × 374.27
  4. Step 4: Simplify right side
    538.83x = 278,818.07
  5. Step 5: Solve for x
    x = 278,818.07/538.83
  6. Step 6: Final answer
    x = 517.45

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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.