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Finding the Fourth Proportional to 673.20, 1,005.42 and 564.96

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Solution

The fourth proportional to 673.20, 1,005.42 and 564.96 is: 843.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.20 : 1,005.42 = 564.96 : x
  2. Step 2: Convert to fraction form
    673.20/1,005.42 = 564.96/x
  3. Step 3: Cross multiply
    673.20x = 1,005.42 × 564.96
  4. Step 4: Simplify right side
    673.20x = 568,022.08
  5. Step 5: Solve for x
    x = 568,022.08/673.20
  6. Step 6: Final answer
    x = 843.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.