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Finding the Fourth Proportional to 673.15, 1,007.62 and 490.49

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Solution

The fourth proportional to 673.15, 1,007.62 and 490.49 is: 734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.15 : 1,007.62 = 490.49 : x
  2. Step 2: Convert to fraction form
    673.15/1,007.62 = 490.49/x
  3. Step 3: Cross multiply
    673.15x = 1,007.62 × 490.49
  4. Step 4: Simplify right side
    673.15x = 494,227.53
  5. Step 5: Solve for x
    x = 494,227.53/673.15
  6. Step 6: Final answer
    x = 734.20

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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.