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Finding the Fourth Proportional to 713.81, 985.06 and 451.98

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Solution

The fourth proportional to 713.81, 985.06 and 451.98 is: 623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.81 : 985.06 = 451.98 : x
  2. Step 2: Convert to fraction form
    713.81/985.06 = 451.98/x
  3. Step 3: Cross multiply
    713.81x = 985.06 × 451.98
  4. Step 4: Simplify right side
    713.81x = 445,227.98
  5. Step 5: Solve for x
    x = 445,227.98/713.81
  6. Step 6: Final answer
    x = 623.73

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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.