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Finding the Fourth Proportional to 713.09, 983.64 and 450.65

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Solution

The fourth proportional to 713.09, 983.64 and 450.65 is: 621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.09 : 983.64 = 450.65 : x
  2. Step 2: Convert to fraction form
    713.09/983.64 = 450.65/x
  3. Step 3: Cross multiply
    713.09x = 983.64 × 450.65
  4. Step 4: Simplify right side
    713.09x = 443,277.37
  5. Step 5: Solve for x
    x = 443,277.37/713.09
  6. Step 6: Final answer
    x = 621.63

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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.