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Finding the Fourth Proportional to 1,553.49, 2,144.25 and 963.69

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Solution

The fourth proportional to 1,553.49, 2,144.25 and 963.69 is: 1,330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.49 : 2,144.25 = 963.69 : x
  2. Step 2: Convert to fraction form
    1,553.49/2,144.25 = 963.69/x
  3. Step 3: Cross multiply
    1,553.49x = 2,144.25 × 963.69
  4. Step 4: Simplify right side
    1,553.49x = 2,066,392.28
  5. Step 5: Solve for x
    x = 2,066,392.28/1,553.49
  6. Step 6: Final answer
    x = 1,330.16

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Double scale
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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.