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Finding the Fourth Proportional to 945.90, 1,419.18 and 361.10

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Solution

The fourth proportional to 945.90, 1,419.18 and 361.10 is: 541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.90 : 1,419.18 = 361.10 : x
  2. Step 2: Convert to fraction form
    945.90/1,419.18 = 361.10/x
  3. Step 3: Cross multiply
    945.90x = 1,419.18 × 361.10
  4. Step 4: Simplify right side
    945.90x = 512,458.80
  5. Step 5: Solve for x
    x = 512,458.80/945.90
  6. Step 6: Final answer
    x = 541.77

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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.