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Finding the Fourth Proportional to 708.30, 977.44 and 397.80

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Solution

The fourth proportional to 708.30, 977.44 and 397.80 is: 548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.30 : 977.44 = 397.80 : x
  2. Step 2: Convert to fraction form
    708.30/977.44 = 397.80/x
  3. Step 3: Cross multiply
    708.30x = 977.44 × 397.80
  4. Step 4: Simplify right side
    708.30x = 388,825.63
  5. Step 5: Solve for x
    x = 388,825.63/708.30
  6. Step 6: Final answer
    x = 548.96

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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.