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Finding the Fourth Proportional to 712.69, 983.67 and 450.65

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Solution

The fourth proportional to 712.69, 983.67 and 450.65 is: 622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.69 : 983.67 = 450.65 : x
  2. Step 2: Convert to fraction form
    712.69/983.67 = 450.65/x
  3. Step 3: Cross multiply
    712.69x = 983.67 × 450.65
  4. Step 4: Simplify right side
    712.69x = 443,290.89
  5. Step 5: Solve for x
    x = 443,290.89/712.69
  6. Step 6: Final answer
    x = 622.00

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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.