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Finding the Fourth Proportional to 673.97, 1,004.90 and 661.66

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Solution

The fourth proportional to 673.97, 1,004.90 and 661.66 is: 986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.97 : 1,004.90 = 661.66 : x
  2. Step 2: Convert to fraction form
    673.97/1,004.90 = 661.66/x
  3. Step 3: Cross multiply
    673.97x = 1,004.90 × 661.66
  4. Step 4: Simplify right side
    673.97x = 664,907.87
  5. Step 5: Solve for x
    x = 664,907.87/673.97
  6. Step 6: Final answer
    x = 986.56

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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.