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Finding the Fourth Proportional to 871.58, 1,303.27 and 736.27

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Solution

The fourth proportional to 871.58, 1,303.27 and 736.27 is: 1,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.58 : 1,303.27 = 736.27 : x
  2. Step 2: Convert to fraction form
    871.58/1,303.27 = 736.27/x
  3. Step 3: Cross multiply
    871.58x = 1,303.27 × 736.27
  4. Step 4: Simplify right side
    871.58x = 959,553.50
  5. Step 5: Solve for x
    x = 959,553.50/871.58
  6. Step 6: Final answer
    x = 1,100.93

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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.