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Finding the Fourth Proportional to 1,084.09, 1,626.24 and 304.09

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Solution

The fourth proportional to 1,084.09, 1,626.24 and 304.09 is: 456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.09 : 1,626.24 = 304.09 : x
  2. Step 2: Convert to fraction form
    1,084.09/1,626.24 = 304.09/x
  3. Step 3: Cross multiply
    1,084.09x = 1,626.24 × 304.09
  4. Step 4: Simplify right side
    1,084.09x = 494,523.32
  5. Step 5: Solve for x
    x = 494,523.32/1,084.09
  6. Step 6: Final answer
    x = 456.16

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1.5x scale

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.