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Finding the Fourth Proportional to 673.97, 1,003.32 and 670.32

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Solution

The fourth proportional to 673.97, 1,003.32 and 670.32 is: 997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.97 : 1,003.32 = 670.32 : x
  2. Step 2: Convert to fraction form
    673.97/1,003.32 = 670.32/x
  3. Step 3: Cross multiply
    673.97x = 1,003.32 × 670.32
  4. Step 4: Simplify right side
    673.97x = 672,545.46
  5. Step 5: Solve for x
    x = 672,545.46/673.97
  6. Step 6: Final answer
    x = 997.89

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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.