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Finding the Fourth Proportional to 673.63, 1,011.98 and 581.37

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Solution

The fourth proportional to 673.63, 1,011.98 and 581.37 is: 873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.63 : 1,011.98 = 581.37 : x
  2. Step 2: Convert to fraction form
    673.63/1,011.98 = 581.37/x
  3. Step 3: Cross multiply
    673.63x = 1,011.98 × 581.37
  4. Step 4: Simplify right side
    673.63x = 588,334.09
  5. Step 5: Solve for x
    x = 588,334.09/673.63
  6. Step 6: Final answer
    x = 873.38

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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.