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Finding the Fourth Proportional to 890.56, 1,228.60 and 828.08

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Solution

The fourth proportional to 890.56, 1,228.60 and 828.08 is: 1,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.56 : 1,228.60 = 828.08 : x
  2. Step 2: Convert to fraction form
    890.56/1,228.60 = 828.08/x
  3. Step 3: Cross multiply
    890.56x = 1,228.60 × 828.08
  4. Step 4: Simplify right side
    890.56x = 1,017,379.09
  5. Step 5: Solve for x
    x = 1,017,379.09/890.56
  6. Step 6: Final answer
    x = 1,142.40

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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.