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Finding the Fourth Proportional to 1,280.22, 1,919.44 and 653.96

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Solution

The fourth proportional to 1,280.22, 1,919.44 and 653.96 is: 980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.22 : 1,919.44 = 653.96 : x
  2. Step 2: Convert to fraction form
    1,280.22/1,919.44 = 653.96/x
  3. Step 3: Cross multiply
    1,280.22x = 1,919.44 × 653.96
  4. Step 4: Simplify right side
    1,280.22x = 1,255,236.98
  5. Step 5: Solve for x
    x = 1,255,236.98/1,280.22
  6. Step 6: Final answer
    x = 980.49

Related Problems

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Half scale
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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.