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Finding the Fourth Proportional to 874.09, 1,310.71 and 379.99

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Solution

The fourth proportional to 874.09, 1,310.71 and 379.99 is: 569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.09 : 1,310.71 = 379.99 : x
  2. Step 2: Convert to fraction form
    874.09/1,310.71 = 379.99/x
  3. Step 3: Cross multiply
    874.09x = 1,310.71 × 379.99
  4. Step 4: Simplify right side
    874.09x = 498,056.69
  5. Step 5: Solve for x
    x = 498,056.69/874.09
  6. Step 6: Final answer
    x = 569.80

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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.