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Finding the Fourth Proportional to 859.45, 1,186.10 and 828.47

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Solution

The fourth proportional to 859.45, 1,186.10 and 828.47 is: 1,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.45 : 1,186.10 = 828.47 : x
  2. Step 2: Convert to fraction form
    859.45/1,186.10 = 828.47/x
  3. Step 3: Cross multiply
    859.45x = 1,186.10 × 828.47
  4. Step 4: Simplify right side
    859.45x = 982,648.27
  5. Step 5: Solve for x
    x = 982,648.27/859.45
  6. Step 6: Final answer
    x = 1,143.35

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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.