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Finding the Fourth Proportional to 578.58, 798.43 and 316.59

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Solution

The fourth proportional to 578.58, 798.43 and 316.59 is: 436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.58 : 798.43 = 316.59 : x
  2. Step 2: Convert to fraction form
    578.58/798.43 = 316.59/x
  3. Step 3: Cross multiply
    578.58x = 798.43 × 316.59
  4. Step 4: Simplify right side
    578.58x = 252,774.95
  5. Step 5: Solve for x
    x = 252,774.95/578.58
  6. Step 6: Final answer
    x = 436.89

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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.