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Finding the Fourth Proportional to 713.07, 983.89 and 450.94

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Solution

The fourth proportional to 713.07, 983.89 and 450.94 is: 622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.07 : 983.89 = 450.94 : x
  2. Step 2: Convert to fraction form
    713.07/983.89 = 450.94/x
  3. Step 3: Cross multiply
    713.07x = 983.89 × 450.94
  4. Step 4: Simplify right side
    713.07x = 443,675.36
  5. Step 5: Solve for x
    x = 443,675.36/713.07
  6. Step 6: Final answer
    x = 622.20

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1.5x scale

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.