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Finding the Fourth Proportional to 713.99, 1,072.78 and 454.12

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Solution

The fourth proportional to 713.99, 1,072.78 and 454.12 is: 682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.99 : 1,072.78 = 454.12 : x
  2. Step 2: Convert to fraction form
    713.99/1,072.78 = 454.12/x
  3. Step 3: Cross multiply
    713.99x = 1,072.78 × 454.12
  4. Step 4: Simplify right side
    713.99x = 487,170.85
  5. Step 5: Solve for x
    x = 487,170.85/713.99
  6. Step 6: Final answer
    x = 682.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.