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Finding the Fourth Proportional to 673.23, 1,009.97 and 210.97

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Solution

The fourth proportional to 673.23, 1,009.97 and 210.97 is: 316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.23 : 1,009.97 = 210.97 : x
  2. Step 2: Convert to fraction form
    673.23/1,009.97 = 210.97/x
  3. Step 3: Cross multiply
    673.23x = 1,009.97 × 210.97
  4. Step 4: Simplify right side
    673.23x = 213,074.37
  5. Step 5: Solve for x
    x = 213,074.37/673.23
  6. Step 6: Final answer
    x = 316.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.