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Finding the Fourth Proportional to 965.33, 1,449.62 and 916.01

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Solution

The fourth proportional to 965.33, 1,449.62 and 916.01 is: 1,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.33 : 1,449.62 = 916.01 : x
  2. Step 2: Convert to fraction form
    965.33/1,449.62 = 916.01/x
  3. Step 3: Cross multiply
    965.33x = 1,449.62 × 916.01
  4. Step 4: Simplify right side
    965.33x = 1,327,866.42
  5. Step 5: Solve for x
    x = 1,327,866.42/965.33
  6. Step 6: Final answer
    x = 1,375.56

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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.