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Finding the Fourth Proportional to 873.15, 1,308.39 and 736.47

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Solution

The fourth proportional to 873.15, 1,308.39 and 736.47 is: 1,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.15 : 1,308.39 = 736.47 : x
  2. Step 2: Convert to fraction form
    873.15/1,308.39 = 736.47/x
  3. Step 3: Cross multiply
    873.15x = 1,308.39 × 736.47
  4. Step 4: Simplify right side
    873.15x = 963,589.98
  5. Step 5: Solve for x
    x = 963,589.98/873.15
  6. Step 6: Final answer
    x = 1,103.58

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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.