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Finding the Fourth Proportional to 891.48, 1,329.36 and 829.92

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Solution

The fourth proportional to 891.48, 1,329.36 and 829.92 is: 1,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.48 : 1,329.36 = 829.92 : x
  2. Step 2: Convert to fraction form
    891.48/1,329.36 = 829.92/x
  3. Step 3: Cross multiply
    891.48x = 1,329.36 × 829.92
  4. Step 4: Simplify right side
    891.48x = 1,103,262.45
  5. Step 5: Solve for x
    x = 1,103,262.45/891.48
  6. Step 6: Final answer
    x = 1,237.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.