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Finding the Fourth Proportional to 435.90, 598.26 and 398.82

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Solution

The fourth proportional to 435.90, 598.26 and 398.82 is: 547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.90 : 598.26 = 398.82 : x
  2. Step 2: Convert to fraction form
    435.90/598.26 = 398.82/x
  3. Step 3: Cross multiply
    435.90x = 598.26 × 398.82
  4. Step 4: Simplify right side
    435.90x = 238,598.05
  5. Step 5: Solve for x
    x = 238,598.05/435.90
  6. Step 6: Final answer
    x = 547.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.