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Finding the Fourth Proportional to 939.67, 1,409.69 and 290.38

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Solution

The fourth proportional to 939.67, 1,409.69 and 290.38 is: 435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.67 : 1,409.69 = 290.38 : x
  2. Step 2: Convert to fraction form
    939.67/1,409.69 = 290.38/x
  3. Step 3: Cross multiply
    939.67x = 1,409.69 × 290.38
  4. Step 4: Simplify right side
    939.67x = 409,345.78
  5. Step 5: Solve for x
    x = 409,345.78/939.67
  6. Step 6: Final answer
    x = 435.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.