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Finding the Fourth Proportional to 984.44, 1,476.22 and 290.87

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Solution

The fourth proportional to 984.44, 1,476.22 and 290.87 is: 436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.44 : 1,476.22 = 290.87 : x
  2. Step 2: Convert to fraction form
    984.44/1,476.22 = 290.87/x
  3. Step 3: Cross multiply
    984.44x = 1,476.22 × 290.87
  4. Step 4: Simplify right side
    984.44x = 429,386.66
  5. Step 5: Solve for x
    x = 429,386.66/984.44
  6. Step 6: Final answer
    x = 436.17

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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.