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Finding the Fourth Proportional to 946.61, 1,419.57 and 361.45

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Solution

The fourth proportional to 946.61, 1,419.57 and 361.45 is: 542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.61 : 1,419.57 = 361.45 : x
  2. Step 2: Convert to fraction form
    946.61/1,419.57 = 361.45/x
  3. Step 3: Cross multiply
    946.61x = 1,419.57 × 361.45
  4. Step 4: Simplify right side
    946.61x = 513,105.35
  5. Step 5: Solve for x
    x = 513,105.35/946.61
  6. Step 6: Final answer
    x = 542.05

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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.