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Finding the Fourth Proportional to 2,280.22, 3,420.43 and 636.86

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Solution

The fourth proportional to 2,280.22, 3,420.43 and 636.86 is: 955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.22 : 3,420.43 = 636.86 : x
  2. Step 2: Convert to fraction form
    2,280.22/3,420.43 = 636.86/x
  3. Step 3: Cross multiply
    2,280.22x = 3,420.43 × 636.86
  4. Step 4: Simplify right side
    2,280.22x = 2,178,342.01
  5. Step 5: Solve for x
    x = 2,178,342.01/2,280.22
  6. Step 6: Final answer
    x = 955.32

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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.