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Finding the Fourth Proportional to 788.06, 1,086.48 and 578.06

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Solution

The fourth proportional to 788.06, 1,086.48 and 578.06 is: 796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.06 : 1,086.48 = 578.06 : x
  2. Step 2: Convert to fraction form
    788.06/1,086.48 = 578.06/x
  3. Step 3: Cross multiply
    788.06x = 1,086.48 × 578.06
  4. Step 4: Simplify right side
    788.06x = 628,050.63
  5. Step 5: Solve for x
    x = 628,050.63/788.06
  6. Step 6: Final answer
    x = 796.96

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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.