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Finding the Fourth Proportional to 1,302.94, 1,954.29 and 329.05

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Solution

The fourth proportional to 1,302.94, 1,954.29 and 329.05 is: 493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.94 : 1,954.29 = 329.05 : x
  2. Step 2: Convert to fraction form
    1,302.94/1,954.29 = 329.05/x
  3. Step 3: Cross multiply
    1,302.94x = 1,954.29 × 329.05
  4. Step 4: Simplify right side
    1,302.94x = 643,059.12
  5. Step 5: Solve for x
    x = 643,059.12/1,302.94
  6. Step 6: Final answer
    x = 493.54

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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.