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Finding the Fourth Proportional to 873.36, 1,308.96 and 765.36

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Solution

The fourth proportional to 873.36, 1,308.96 and 765.36 is: 1,147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.36 : 1,308.96 = 765.36 : x
  2. Step 2: Convert to fraction form
    873.36/1,308.96 = 765.36/x
  3. Step 3: Cross multiply
    873.36x = 1,308.96 × 765.36
  4. Step 4: Simplify right side
    873.36x = 1,001,825.63
  5. Step 5: Solve for x
    x = 1,001,825.63/873.36
  6. Step 6: Final answer
    x = 1,147.09

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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.