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Finding the Fourth Proportional to 713.24, 982.76 and 479.96

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Solution

The fourth proportional to 713.24, 982.76 and 479.96 is: 661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.24 : 982.76 = 479.96 : x
  2. Step 2: Convert to fraction form
    713.24/982.76 = 479.96/x
  3. Step 3: Cross multiply
    713.24x = 982.76 × 479.96
  4. Step 4: Simplify right side
    713.24x = 471,685.49
  5. Step 5: Solve for x
    x = 471,685.49/713.24
  6. Step 6: Final answer
    x = 661.33

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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.