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Finding the Fourth Proportional to 709.84, 980.94 and 578.80

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Solution

The fourth proportional to 709.84, 980.94 and 578.80 is: 799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.84 : 980.94 = 578.80 : x
  2. Step 2: Convert to fraction form
    709.84/980.94 = 578.80/x
  3. Step 3: Cross multiply
    709.84x = 980.94 × 578.80
  4. Step 4: Simplify right side
    709.84x = 567,768.07
  5. Step 5: Solve for x
    x = 567,768.07/709.84
  6. Step 6: Final answer
    x = 799.85

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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.