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Finding the Fourth Proportional to 671.15, 1,004.63 and 488.49

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Solution

The fourth proportional to 671.15, 1,004.63 and 488.49 is: 731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.15 : 1,004.63 = 488.49 : x
  2. Step 2: Convert to fraction form
    671.15/1,004.63 = 488.49/x
  3. Step 3: Cross multiply
    671.15x = 1,004.63 × 488.49
  4. Step 4: Simplify right side
    671.15x = 490,749.27
  5. Step 5: Solve for x
    x = 490,749.27/671.15
  6. Step 6: Final answer
    x = 731.21

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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.