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Finding the Fourth Proportional to 673.89, 1,003.41 and 666.54

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Solution

The fourth proportional to 673.89, 1,003.41 and 666.54 is: 992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.89 : 1,003.41 = 666.54 : x
  2. Step 2: Convert to fraction form
    673.89/1,003.41 = 666.54/x
  3. Step 3: Cross multiply
    673.89x = 1,003.41 × 666.54
  4. Step 4: Simplify right side
    673.89x = 668,812.90
  5. Step 5: Solve for x
    x = 668,812.90/673.89
  6. Step 6: Final answer
    x = 992.47

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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.