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Finding the Fourth Proportional to 874.10, 1,311.02 and 257.64

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Solution

The fourth proportional to 874.10, 1,311.02 and 257.64 is: 386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.10 : 1,311.02 = 257.64 : x
  2. Step 2: Convert to fraction form
    874.10/1,311.02 = 257.64/x
  3. Step 3: Cross multiply
    874.10x = 1,311.02 × 257.64
  4. Step 4: Simplify right side
    874.10x = 337,771.19
  5. Step 5: Solve for x
    x = 337,771.19/874.10
  6. Step 6: Final answer
    x = 386.42

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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.