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Finding the Fourth Proportional to 965.09, 1,455.15 and 884.09

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Solution

The fourth proportional to 965.09, 1,455.15 and 884.09 is: 1,333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.09 : 1,455.15 = 884.09 : x
  2. Step 2: Convert to fraction form
    965.09/1,455.15 = 884.09/x
  3. Step 3: Cross multiply
    965.09x = 1,455.15 × 884.09
  4. Step 4: Simplify right side
    965.09x = 1,286,483.56
  5. Step 5: Solve for x
    x = 1,286,483.56/965.09
  6. Step 6: Final answer
    x = 1,333.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.