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Finding the Fourth Proportional to 674.42, 924.63 and 662.09

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Solution

The fourth proportional to 674.42, 924.63 and 662.09 is: 907.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.42 : 924.63 = 662.09 : x
  2. Step 2: Convert to fraction form
    674.42/924.63 = 662.09/x
  3. Step 3: Cross multiply
    674.42x = 924.63 × 662.09
  4. Step 4: Simplify right side
    674.42x = 612,181.17
  5. Step 5: Solve for x
    x = 612,181.17/674.42
  6. Step 6: Final answer
    x = 907.72

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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.