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Finding the Fourth Proportional to 671.69, 928.87 and 505.85

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Solution

The fourth proportional to 671.69, 928.87 and 505.85 is: 699.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.69 : 928.87 = 505.85 : x
  2. Step 2: Convert to fraction form
    671.69/928.87 = 505.85/x
  3. Step 3: Cross multiply
    671.69x = 928.87 × 505.85
  4. Step 4: Simplify right side
    671.69x = 469,862.98
  5. Step 5: Solve for x
    x = 469,862.98/671.69
  6. Step 6: Final answer
    x = 699.52

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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.