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Finding the Fourth Proportional to 712.73, 983.57 and 418.00

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Solution

The fourth proportional to 712.73, 983.57 and 418.00 is: 576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.73 : 983.57 = 418.00 : x
  2. Step 2: Convert to fraction form
    712.73/983.57 = 418.00/x
  3. Step 3: Cross multiply
    712.73x = 983.57 × 418.00
  4. Step 4: Simplify right side
    712.73x = 411,131.91
  5. Step 5: Solve for x
    x = 411,131.91/712.73
  6. Step 6: Final answer
    x = 576.84

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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.