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Finding the Fourth Proportional to 1,478.08, 2,216.38 and 828.64

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Solution

The fourth proportional to 1,478.08, 2,216.38 and 828.64 is: 1,242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.08 : 2,216.38 = 828.64 : x
  2. Step 2: Convert to fraction form
    1,478.08/2,216.38 = 828.64/x
  3. Step 3: Cross multiply
    1,478.08x = 2,216.38 × 828.64
  4. Step 4: Simplify right side
    1,478.08x = 1,836,581.12
  5. Step 5: Solve for x
    x = 1,836,581.12/1,478.08
  6. Step 6: Final answer
    x = 1,242.55

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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.