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Finding the Fourth Proportional to 946.42, 1,419.78 and 330.22

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Solution

The fourth proportional to 946.42, 1,419.78 and 330.22 is: 495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.42 : 1,419.78 = 330.22 : x
  2. Step 2: Convert to fraction form
    946.42/1,419.78 = 330.22/x
  3. Step 3: Cross multiply
    946.42x = 1,419.78 × 330.22
  4. Step 4: Simplify right side
    946.42x = 468,839.75
  5. Step 5: Solve for x
    x = 468,839.75/946.42
  6. Step 6: Final answer
    x = 495.38

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Double scale
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1.5x scale

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.