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Finding the Fourth Proportional to 1,663, 2,294.94 and 964.78

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Solution

The fourth proportional to 1,663, 2,294.94 and 964.78 is: 1,331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663 : 2,294.94 = 964.78 : x
  2. Step 2: Convert to fraction form
    1,663/2,294.94 = 964.78/x
  3. Step 3: Cross multiply
    1,663x = 2,294.94 × 964.78
  4. Step 4: Simplify right side
    1,663x = 2,214,112.21
  5. Step 5: Solve for x
    x = 2,214,112.21/1,663
  6. Step 6: Final answer
    x = 1,331.40

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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.