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Finding the Fourth Proportional to 673.72, 1,009.67 and 490.25

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Solution

The fourth proportional to 673.72, 1,009.67 and 490.25 is: 734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.72 : 1,009.67 = 490.25 : x
  2. Step 2: Convert to fraction form
    673.72/1,009.67 = 490.25/x
  3. Step 3: Cross multiply
    673.72x = 1,009.67 × 490.25
  4. Step 4: Simplify right side
    673.72x = 494,990.79
  5. Step 5: Solve for x
    x = 494,990.79/673.72
  6. Step 6: Final answer
    x = 734.72

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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.