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Finding the Fourth Proportional to 1,302.99, 1,954.45 and 329.07

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Solution

The fourth proportional to 1,302.99, 1,954.45 and 329.07 is: 493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.99 : 1,954.45 = 329.07 : x
  2. Step 2: Convert to fraction form
    1,302.99/1,954.45 = 329.07/x
  3. Step 3: Cross multiply
    1,302.99x = 1,954.45 × 329.07
  4. Step 4: Simplify right side
    1,302.99x = 643,150.86
  5. Step 5: Solve for x
    x = 643,150.86/1,302.99
  6. Step 6: Final answer
    x = 493.60

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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.