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Finding the Fourth Proportional to 873.73, 1,311.30 and 771.22

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Solution

The fourth proportional to 873.73, 1,311.30 and 771.22 is: 1,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.73 : 1,311.30 = 771.22 : x
  2. Step 2: Convert to fraction form
    873.73/1,311.30 = 771.22/x
  3. Step 3: Cross multiply
    873.73x = 1,311.30 × 771.22
  4. Step 4: Simplify right side
    873.73x = 1,011,300.79
  5. Step 5: Solve for x
    x = 1,011,300.79/873.73
  6. Step 6: Final answer
    x = 1,157.45

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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.