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Finding the Fourth Proportional to 437.10, 652.25 and 398.29

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Solution

The fourth proportional to 437.10, 652.25 and 398.29 is: 594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.10 : 652.25 = 398.29 : x
  2. Step 2: Convert to fraction form
    437.10/652.25 = 398.29/x
  3. Step 3: Cross multiply
    437.10x = 652.25 × 398.29
  4. Step 4: Simplify right side
    437.10x = 259,782.66
  5. Step 5: Solve for x
    x = 259,782.66/437.10
  6. Step 6: Final answer
    x = 594.33

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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.