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Finding the Fourth Proportional to 946.44, 1,419.39 and 361.07

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Solution

The fourth proportional to 946.44, 1,419.39 and 361.07 is: 541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.44 : 1,419.39 = 361.07 : x
  2. Step 2: Convert to fraction form
    946.44/1,419.39 = 361.07/x
  3. Step 3: Cross multiply
    946.44x = 1,419.39 × 361.07
  4. Step 4: Simplify right side
    946.44x = 512,492.05
  5. Step 5: Solve for x
    x = 512,492.05/946.44
  6. Step 6: Final answer
    x = 541.49

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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.