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Finding the Fourth Proportional to 712.36, 982.02 and 556.84

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Solution

The fourth proportional to 712.36, 982.02 and 556.84 is: 767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.36 : 982.02 = 556.84 : x
  2. Step 2: Convert to fraction form
    712.36/982.02 = 556.84/x
  3. Step 3: Cross multiply
    712.36x = 982.02 × 556.84
  4. Step 4: Simplify right side
    712.36x = 546,828.02
  5. Step 5: Solve for x
    x = 546,828.02/712.36
  6. Step 6: Final answer
    x = 767.63

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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.