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Finding the Fourth Proportional to 1,012.84, 1,519.58 and 329.32

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Solution

The fourth proportional to 1,012.84, 1,519.58 and 329.32 is: 494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.84 : 1,519.58 = 329.32 : x
  2. Step 2: Convert to fraction form
    1,012.84/1,519.58 = 329.32/x
  3. Step 3: Cross multiply
    1,012.84x = 1,519.58 × 329.32
  4. Step 4: Simplify right side
    1,012.84x = 500,428.09
  5. Step 5: Solve for x
    x = 500,428.09/1,012.84
  6. Step 6: Final answer
    x = 494.08

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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.