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Finding the Fourth Proportional to 874.14, 1,311.45 and 297.06

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Solution

The fourth proportional to 874.14, 1,311.45 and 297.06 is: 445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.14 : 1,311.45 = 297.06 : x
  2. Step 2: Convert to fraction form
    874.14/1,311.45 = 297.06/x
  3. Step 3: Cross multiply
    874.14x = 1,311.45 × 297.06
  4. Step 4: Simplify right side
    874.14x = 389,579.34
  5. Step 5: Solve for x
    x = 389,579.34/874.14
  6. Step 6: Final answer
    x = 445.67

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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.