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Finding the Fourth Proportional to 946.39, 1,419.69 and 330.04

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Solution

The fourth proportional to 946.39, 1,419.69 and 330.04 is: 495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.39 : 1,419.69 = 330.04 : x
  2. Step 2: Convert to fraction form
    946.39/1,419.69 = 330.04/x
  3. Step 3: Cross multiply
    946.39x = 1,419.69 × 330.04
  4. Step 4: Simplify right side
    946.39x = 468,554.49
  5. Step 5: Solve for x
    x = 468,554.49/946.39
  6. Step 6: Final answer
    x = 495.10

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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.