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Finding the Fourth Proportional to 939.04, 1,409.16 and 361.90

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Solution

The fourth proportional to 939.04, 1,409.16 and 361.90 is: 543.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.04 : 1,409.16 = 361.90 : x
  2. Step 2: Convert to fraction form
    939.04/1,409.16 = 361.90/x
  3. Step 3: Cross multiply
    939.04x = 1,409.16 × 361.90
  4. Step 4: Simplify right side
    939.04x = 509,975.00
  5. Step 5: Solve for x
    x = 509,975.00/939.04
  6. Step 6: Final answer
    x = 543.08

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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.