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Finding the Fourth Proportional to 712.43, 983.19 and 401.93

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Solution

The fourth proportional to 712.43, 983.19 and 401.93 is: 554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.43 : 983.19 = 401.93 : x
  2. Step 2: Convert to fraction form
    712.43/983.19 = 401.93/x
  3. Step 3: Cross multiply
    712.43x = 983.19 × 401.93
  4. Step 4: Simplify right side
    712.43x = 395,173.56
  5. Step 5: Solve for x
    x = 395,173.56/712.43
  6. Step 6: Final answer
    x = 554.68

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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.