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Finding the Fourth Proportional to 634.69, 874.50 and 486.85

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Solution

The fourth proportional to 634.69, 874.50 and 486.85 is: 670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.69 : 874.50 = 486.85 : x
  2. Step 2: Convert to fraction form
    634.69/874.50 = 486.85/x
  3. Step 3: Cross multiply
    634.69x = 874.50 × 486.85
  4. Step 4: Simplify right side
    634.69x = 425,750.33
  5. Step 5: Solve for x
    x = 425,750.33/634.69
  6. Step 6: Final answer
    x = 670.80

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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.