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Finding the Fourth Proportional to 712.06, 982.83 and 479.68

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Solution

The fourth proportional to 712.06, 982.83 and 479.68 is: 662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.06 : 982.83 = 479.68 : x
  2. Step 2: Convert to fraction form
    712.06/982.83 = 479.68/x
  3. Step 3: Cross multiply
    712.06x = 982.83 × 479.68
  4. Step 4: Simplify right side
    712.06x = 471,443.89
  5. Step 5: Solve for x
    x = 471,443.89/712.06
  6. Step 6: Final answer
    x = 662.08

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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.