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Finding the Fourth Proportional to 874.87, 1,305.90 and 771.08

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Solution

The fourth proportional to 874.87, 1,305.90 and 771.08 is: 1,150.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.87 : 1,305.90 = 771.08 : x
  2. Step 2: Convert to fraction form
    874.87/1,305.90 = 771.08/x
  3. Step 3: Cross multiply
    874.87x = 1,305.90 × 771.08
  4. Step 4: Simplify right side
    874.87x = 1,006,946.84
  5. Step 5: Solve for x
    x = 1,006,946.84/874.87
  6. Step 6: Final answer
    x = 1,150.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.