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Finding the Fourth Proportional to 1,608.24, 2,219.44 and 909.68

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Solution

The fourth proportional to 1,608.24, 2,219.44 and 909.68 is: 1,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.24 : 2,219.44 = 909.68 : x
  2. Step 2: Convert to fraction form
    1,608.24/2,219.44 = 909.68/x
  3. Step 3: Cross multiply
    1,608.24x = 2,219.44 × 909.68
  4. Step 4: Simplify right side
    1,608.24x = 2,018,980.18
  5. Step 5: Solve for x
    x = 2,018,980.18/1,608.24
  6. Step 6: Final answer
    x = 1,255.40

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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.