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Finding the Fourth Proportional to 976.54, 1,465.06 and 828.77

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Solution

The fourth proportional to 976.54, 1,465.06 and 828.77 is: 1,243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.54 : 1,465.06 = 828.77 : x
  2. Step 2: Convert to fraction form
    976.54/1,465.06 = 828.77/x
  3. Step 3: Cross multiply
    976.54x = 1,465.06 × 828.77
  4. Step 4: Simplify right side
    976.54x = 1,214,190.45
  5. Step 5: Solve for x
    x = 1,214,190.45/976.54
  6. Step 6: Final answer
    x = 1,243.36

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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.