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Finding the Fourth Proportional to 835.69, 1,154.51 and 829.21

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Solution

The fourth proportional to 835.69, 1,154.51 and 829.21 is: 1,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.69 : 1,154.51 = 829.21 : x
  2. Step 2: Convert to fraction form
    835.69/1,154.51 = 829.21/x
  3. Step 3: Cross multiply
    835.69x = 1,154.51 × 829.21
  4. Step 4: Simplify right side
    835.69x = 957,331.24
  5. Step 5: Solve for x
    x = 957,331.24/835.69
  6. Step 6: Final answer
    x = 1,145.56

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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.