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Finding the Fourth Proportional to 421.33, 633.03 and 398.02

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Solution

The fourth proportional to 421.33, 633.03 and 398.02 is: 598.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.33 : 633.03 = 398.02 : x
  2. Step 2: Convert to fraction form
    421.33/633.03 = 398.02/x
  3. Step 3: Cross multiply
    421.33x = 633.03 × 398.02
  4. Step 4: Simplify right side
    421.33x = 251,958.60
  5. Step 5: Solve for x
    x = 251,958.60/421.33
  6. Step 6: Final answer
    x = 598.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.