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Finding the Fourth Proportional to 712.39, 983.07 and 401.89

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Solution

The fourth proportional to 712.39, 983.07 and 401.89 is: 554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.39 : 983.07 = 401.89 : x
  2. Step 2: Convert to fraction form
    712.39/983.07 = 401.89/x
  3. Step 3: Cross multiply
    712.39x = 983.07 × 401.89
  4. Step 4: Simplify right side
    712.39x = 395,086.00
  5. Step 5: Solve for x
    x = 395,086.00/712.39
  6. Step 6: Final answer
    x = 554.59

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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.