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Finding the Fourth Proportional to 1,290.98, 1,933.64 and 965.36

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Solution

The fourth proportional to 1,290.98, 1,933.64 and 965.36 is: 1,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.98 : 1,933.64 = 965.36 : x
  2. Step 2: Convert to fraction form
    1,290.98/1,933.64 = 965.36/x
  3. Step 3: Cross multiply
    1,290.98x = 1,933.64 × 965.36
  4. Step 4: Simplify right side
    1,290.98x = 1,866,653.88
  5. Step 5: Solve for x
    x = 1,866,653.88/1,290.98
  6. Step 6: Final answer
    x = 1,445.92

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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.