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Finding the Fourth Proportional to 874.92, 1,312.74 and 297.96

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Solution

The fourth proportional to 874.92, 1,312.74 and 297.96 is: 447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.92 : 1,312.74 = 297.96 : x
  2. Step 2: Convert to fraction form
    874.92/1,312.74 = 297.96/x
  3. Step 3: Cross multiply
    874.92x = 1,312.74 × 297.96
  4. Step 4: Simplify right side
    874.92x = 391,144.01
  5. Step 5: Solve for x
    x = 391,144.01/874.92
  6. Step 6: Final answer
    x = 447.06

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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.