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Finding the Fourth Proportional to 578.86, 798.60 and 505.18

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Solution

The fourth proportional to 578.86, 798.60 and 505.18 is: 696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.86 : 798.60 = 505.18 : x
  2. Step 2: Convert to fraction form
    578.86/798.60 = 505.18/x
  3. Step 3: Cross multiply
    578.86x = 798.60 × 505.18
  4. Step 4: Simplify right side
    578.86x = 403,436.75
  5. Step 5: Solve for x
    x = 403,436.75/578.86
  6. Step 6: Final answer
    x = 696.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.