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Finding the Fourth Proportional to 713.06, 983.97 and 480.50

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Solution

The fourth proportional to 713.06, 983.97 and 480.50 is: 663.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.06 : 983.97 = 480.50 : x
  2. Step 2: Convert to fraction form
    713.06/983.97 = 480.50/x
  3. Step 3: Cross multiply
    713.06x = 983.97 × 480.50
  4. Step 4: Simplify right side
    713.06x = 472,797.59
  5. Step 5: Solve for x
    x = 472,797.59/713.06
  6. Step 6: Final answer
    x = 663.05

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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.