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Finding the Fourth Proportional to 712.96, 983.91 and 418.21

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Solution

The fourth proportional to 712.96, 983.91 and 418.21 is: 577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.96 : 983.91 = 418.21 : x
  2. Step 2: Convert to fraction form
    712.96/983.91 = 418.21/x
  3. Step 3: Cross multiply
    712.96x = 983.91 × 418.21
  4. Step 4: Simplify right side
    712.96x = 411,481.00
  5. Step 5: Solve for x
    x = 411,481.00/712.96
  6. Step 6: Final answer
    x = 577.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.