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Finding the Fourth Proportional to 674.13, 930.83 and 438.24

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Solution

The fourth proportional to 674.13, 930.83 and 438.24 is: 605.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.13 : 930.83 = 438.24 : x
  2. Step 2: Convert to fraction form
    674.13/930.83 = 438.24/x
  3. Step 3: Cross multiply
    674.13x = 930.83 × 438.24
  4. Step 4: Simplify right side
    674.13x = 407,926.94
  5. Step 5: Solve for x
    x = 407,926.94/674.13
  6. Step 6: Final answer
    x = 605.12

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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.