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Finding the Fourth Proportional to 655.48, 980.79 and 538.84

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Solution

The fourth proportional to 655.48, 980.79 and 538.84 is: 806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.48 : 980.79 = 538.84 : x
  2. Step 2: Convert to fraction form
    655.48/980.79 = 538.84/x
  3. Step 3: Cross multiply
    655.48x = 980.79 × 538.84
  4. Step 4: Simplify right side
    655.48x = 528,488.88
  5. Step 5: Solve for x
    x = 528,488.88/655.48
  6. Step 6: Final answer
    x = 806.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.