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Finding the Fourth Proportional to 676.08, 1,011.69 and 567.54

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Solution

The fourth proportional to 676.08, 1,011.69 and 567.54 is: 849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.08 : 1,011.69 = 567.54 : x
  2. Step 2: Convert to fraction form
    676.08/1,011.69 = 567.54/x
  3. Step 3: Cross multiply
    676.08x = 1,011.69 × 567.54
  4. Step 4: Simplify right side
    676.08x = 574,174.54
  5. Step 5: Solve for x
    x = 574,174.54/676.08
  6. Step 6: Final answer
    x = 849.27

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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.