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Finding the Fourth Proportional to 708.84, 977.94 and 447.21

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Solution

The fourth proportional to 708.84, 977.94 and 447.21 is: 616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.84 : 977.94 = 447.21 : x
  2. Step 2: Convert to fraction form
    708.84/977.94 = 447.21/x
  3. Step 3: Cross multiply
    708.84x = 977.94 × 447.21
  4. Step 4: Simplify right side
    708.84x = 437,344.55
  5. Step 5: Solve for x
    x = 437,344.55/708.84
  6. Step 6: Final answer
    x = 616.99

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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.