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Finding the Fourth Proportional to 873.98, 1,311.66 and 771.48

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Solution

The fourth proportional to 873.98, 1,311.66 and 771.48 is: 1,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.98 : 1,311.66 = 771.48 : x
  2. Step 2: Convert to fraction form
    873.98/1,311.66 = 771.48/x
  3. Step 3: Cross multiply
    873.98x = 1,311.66 × 771.48
  4. Step 4: Simplify right side
    873.98x = 1,011,919.46
  5. Step 5: Solve for x
    x = 1,011,919.46/873.98
  6. Step 6: Final answer
    x = 1,157.83

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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.