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Finding the Fourth Proportional to 825.72, 1,138.64 and 708.10

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Solution

The fourth proportional to 825.72, 1,138.64 and 708.10 is: 976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.72 : 1,138.64 = 708.10 : x
  2. Step 2: Convert to fraction form
    825.72/1,138.64 = 708.10/x
  3. Step 3: Cross multiply
    825.72x = 1,138.64 × 708.10
  4. Step 4: Simplify right side
    825.72x = 806,270.98
  5. Step 5: Solve for x
    x = 806,270.98/825.72
  6. Step 6: Final answer
    x = 976.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.