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Finding the Fourth Proportional to 1,662.75, 2,295.14 and 963.99

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Solution

The fourth proportional to 1,662.75, 2,295.14 and 963.99 is: 1,330.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.75 : 2,295.14 = 963.99 : x
  2. Step 2: Convert to fraction form
    1,662.75/2,295.14 = 963.99/x
  3. Step 3: Cross multiply
    1,662.75x = 2,295.14 × 963.99
  4. Step 4: Simplify right side
    1,662.75x = 2,212,487.19
  5. Step 5: Solve for x
    x = 2,212,487.19/1,662.75
  6. Step 6: Final answer
    x = 1,330.62

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1.5x scale

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.