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Finding the Fourth Proportional to 1,608.25, 2,219.45 and 909.61

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Solution

The fourth proportional to 1,608.25, 2,219.45 and 909.61 is: 1,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.25 : 2,219.45 = 909.61 : x
  2. Step 2: Convert to fraction form
    1,608.25/2,219.45 = 909.61/x
  3. Step 3: Cross multiply
    1,608.25x = 2,219.45 × 909.61
  4. Step 4: Simplify right side
    1,608.25x = 2,018,829.37
  5. Step 5: Solve for x
    x = 2,018,829.37/1,608.25
  6. Step 6: Final answer
    x = 1,255.30

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.