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Finding the Fourth Proportional to 567.49, 847.09 and 486.85

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Solution

The fourth proportional to 567.49, 847.09 and 486.85 is: 726.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.49 : 847.09 = 486.85 : x
  2. Step 2: Convert to fraction form
    567.49/847.09 = 486.85/x
  3. Step 3: Cross multiply
    567.49x = 847.09 × 486.85
  4. Step 4: Simplify right side
    567.49x = 412,399.71
  5. Step 5: Solve for x
    x = 412,399.71/567.49
  6. Step 6: Final answer
    x = 726.71

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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.