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Finding the Fourth Proportional to 1,084.06, 1,626.36 and 535.42

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Solution

The fourth proportional to 1,084.06, 1,626.36 and 535.42 is: 803.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.06 : 1,626.36 = 535.42 : x
  2. Step 2: Convert to fraction form
    1,084.06/1,626.36 = 535.42/x
  3. Step 3: Cross multiply
    1,084.06x = 1,626.36 × 535.42
  4. Step 4: Simplify right side
    1,084.06x = 870,785.67
  5. Step 5: Solve for x
    x = 870,785.67/1,084.06
  6. Step 6: Final answer
    x = 803.26

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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.