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Finding the Fourth Proportional to 835.39, 1,145.93 and 828.10

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Solution

The fourth proportional to 835.39, 1,145.93 and 828.10 is: 1,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.39 : 1,145.93 = 828.10 : x
  2. Step 2: Convert to fraction form
    835.39/1,145.93 = 828.10/x
  3. Step 3: Cross multiply
    835.39x = 1,145.93 × 828.10
  4. Step 4: Simplify right side
    835.39x = 948,944.63
  5. Step 5: Solve for x
    x = 948,944.63/835.39
  6. Step 6: Final answer
    x = 1,135.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.