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Finding the Fourth Proportional to 450.53, 674.93 and 397.88

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Solution

The fourth proportional to 450.53, 674.93 and 397.88 is: 596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.53 : 674.93 = 397.88 : x
  2. Step 2: Convert to fraction form
    450.53/674.93 = 397.88/x
  3. Step 3: Cross multiply
    450.53x = 674.93 × 397.88
  4. Step 4: Simplify right side
    450.53x = 268,541.15
  5. Step 5: Solve for x
    x = 268,541.15/450.53
  6. Step 6: Final answer
    x = 596.06

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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.