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Finding the Fourth Proportional to 674.50, 928.99 and 634.81

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Solution

The fourth proportional to 674.50, 928.99 and 634.81 is: 874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.50 : 928.99 = 634.81 : x
  2. Step 2: Convert to fraction form
    674.50/928.99 = 634.81/x
  3. Step 3: Cross multiply
    674.50x = 928.99 × 634.81
  4. Step 4: Simplify right side
    674.50x = 589,732.14
  5. Step 5: Solve for x
    x = 589,732.14/674.50
  6. Step 6: Final answer
    x = 874.32

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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.