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Finding the Fourth Proportional to 873.86, 1,205.42 and 677.03

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Solution

The fourth proportional to 873.86, 1,205.42 and 677.03 is: 933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.86 : 1,205.42 = 677.03 : x
  2. Step 2: Convert to fraction form
    873.86/1,205.42 = 677.03/x
  3. Step 3: Cross multiply
    873.86x = 1,205.42 × 677.03
  4. Step 4: Simplify right side
    873.86x = 816,096.09
  5. Step 5: Solve for x
    x = 816,096.09/873.86
  6. Step 6: Final answer
    x = 933.90

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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.