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Finding the Fourth Proportional to 615.21, 922.41 and 398.94

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Solution

The fourth proportional to 615.21, 922.41 and 398.94 is: 598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.21 : 922.41 = 398.94 : x
  2. Step 2: Convert to fraction form
    615.21/922.41 = 398.94/x
  3. Step 3: Cross multiply
    615.21x = 922.41 × 398.94
  4. Step 4: Simplify right side
    615.21x = 367,986.25
  5. Step 5: Solve for x
    x = 367,986.25/615.21
  6. Step 6: Final answer
    x = 598.15

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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.