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Finding the Fourth Proportional to 712.36, 983.13 and 401.86

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Solution

The fourth proportional to 712.36, 983.13 and 401.86 is: 554.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.36 : 983.13 = 401.86 : x
  2. Step 2: Convert to fraction form
    712.36/983.13 = 401.86/x
  3. Step 3: Cross multiply
    712.36x = 983.13 × 401.86
  4. Step 4: Simplify right side
    712.36x = 395,080.62
  5. Step 5: Solve for x
    x = 395,080.62/712.36
  6. Step 6: Final answer
    x = 554.61

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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.