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Finding the Fourth Proportional to 466.98, 698.25 and 399.30

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Solution

The fourth proportional to 466.98, 698.25 and 399.30 is: 597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.98 : 698.25 = 399.30 : x
  2. Step 2: Convert to fraction form
    466.98/698.25 = 399.30/x
  3. Step 3: Cross multiply
    466.98x = 698.25 × 399.30
  4. Step 4: Simplify right side
    466.98x = 278,811.23
  5. Step 5: Solve for x
    x = 278,811.23/466.98
  6. Step 6: Final answer
    x = 597.05

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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.