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Finding the Fourth Proportional to 1,084.36, 1,626.20 and 353.77

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Solution

The fourth proportional to 1,084.36, 1,626.20 and 353.77 is: 530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.36 : 1,626.20 = 353.77 : x
  2. Step 2: Convert to fraction form
    1,084.36/1,626.20 = 353.77/x
  3. Step 3: Cross multiply
    1,084.36x = 1,626.20 × 353.77
  4. Step 4: Simplify right side
    1,084.36x = 575,300.77
  5. Step 5: Solve for x
    x = 575,300.77/1,084.36
  6. Step 6: Final answer
    x = 530.54

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Double scale
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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.