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Finding the Fourth Proportional to 419.37, 575.36 and 398.71

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Solution

The fourth proportional to 419.37, 575.36 and 398.71 is: 547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.37 : 575.36 = 398.71 : x
  2. Step 2: Convert to fraction form
    419.37/575.36 = 398.71/x
  3. Step 3: Cross multiply
    419.37x = 575.36 × 398.71
  4. Step 4: Simplify right side
    419.37x = 229,401.79
  5. Step 5: Solve for x
    x = 229,401.79/419.37
  6. Step 6: Final answer
    x = 547.02

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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.