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Finding the Fourth Proportional to 1,663.44, 2,295 and 964.32

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Solution

The fourth proportional to 1,663.44, 2,295 and 964.32 is: 1,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.44 : 2,295 = 964.32 : x
  2. Step 2: Convert to fraction form
    1,663.44/2,295 = 964.32/x
  3. Step 3: Cross multiply
    1,663.44x = 2,295 × 964.32
  4. Step 4: Simplify right side
    1,663.44x = 2,213,114.40
  5. Step 5: Solve for x
    x = 2,213,114.40/1,663.44
  6. Step 6: Final answer
    x = 1,330.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.