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Finding the Fourth Proportional to 673.41, 1,016.30 and 673.41

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Solution

The fourth proportional to 673.41, 1,016.30 and 673.41 is: 1,016.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.41 : 1,016.30 = 673.41 : x
  2. Step 2: Convert to fraction form
    673.41/1,016.30 = 673.41/x
  3. Step 3: Cross multiply
    673.41x = 1,016.30 × 673.41
  4. Step 4: Simplify right side
    673.41x = 684,388.29
  5. Step 5: Solve for x
    x = 684,388.29/673.41
  6. Step 6: Final answer
    x = 1,016.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.