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Finding the Fourth Proportional to 1,204.67, 1,662.51 and 673.67

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Solution

The fourth proportional to 1,204.67, 1,662.51 and 673.67 is: 929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.67 : 1,662.51 = 673.67 : x
  2. Step 2: Convert to fraction form
    1,204.67/1,662.51 = 673.67/x
  3. Step 3: Cross multiply
    1,204.67x = 1,662.51 × 673.67
  4. Step 4: Simplify right side
    1,204.67x = 1,119,974.80
  5. Step 5: Solve for x
    x = 1,119,974.80/1,204.67
  6. Step 6: Final answer
    x = 929.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.