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Finding the Fourth Proportional to 674.67, 929.93 and 464.49

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Solution

The fourth proportional to 674.67, 929.93 and 464.49 is: 640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.67 : 929.93 = 464.49 : x
  2. Step 2: Convert to fraction form
    674.67/929.93 = 464.49/x
  3. Step 3: Cross multiply
    674.67x = 929.93 × 464.49
  4. Step 4: Simplify right side
    674.67x = 431,940.86
  5. Step 5: Solve for x
    x = 431,940.86/674.67
  6. Step 6: Final answer
    x = 640.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.