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Finding the Fourth Proportional to 398.53, 594.52 and 374.23

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Solution

The fourth proportional to 398.53, 594.52 and 374.23 is: 558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.53 : 594.52 = 374.23 : x
  2. Step 2: Convert to fraction form
    398.53/594.52 = 374.23/x
  3. Step 3: Cross multiply
    398.53x = 594.52 × 374.23
  4. Step 4: Simplify right side
    398.53x = 222,487.22
  5. Step 5: Solve for x
    x = 222,487.22/398.53
  6. Step 6: Final answer
    x = 558.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.