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Finding the Fourth Proportional to 840.72, 1,267.37 and 828.12

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Solution

The fourth proportional to 840.72, 1,267.37 and 828.12 is: 1,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.72 : 1,267.37 = 828.12 : x
  2. Step 2: Convert to fraction form
    840.72/1,267.37 = 828.12/x
  3. Step 3: Cross multiply
    840.72x = 1,267.37 × 828.12
  4. Step 4: Simplify right side
    840.72x = 1,049,530.30
  5. Step 5: Solve for x
    x = 1,049,530.30/840.72
  6. Step 6: Final answer
    x = 1,248.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.