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Finding the Fourth Proportional to 1,084.70, 1,626.84 and 294.06

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Solution

The fourth proportional to 1,084.70, 1,626.84 and 294.06 is: 441.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.70 : 1,626.84 = 294.06 : x
  2. Step 2: Convert to fraction form
    1,084.70/1,626.84 = 294.06/x
  3. Step 3: Cross multiply
    1,084.70x = 1,626.84 × 294.06
  4. Step 4: Simplify right side
    1,084.70x = 478,388.57
  5. Step 5: Solve for x
    x = 478,388.57/1,084.70
  6. Step 6: Final answer
    x = 441.03

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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.