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Finding the Fourth Proportional to 825.34, 1,133 and 708.70

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Solution

The fourth proportional to 825.34, 1,133 and 708.70 is: 972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.34 : 1,133 = 708.70 : x
  2. Step 2: Convert to fraction form
    825.34/1,133 = 708.70/x
  3. Step 3: Cross multiply
    825.34x = 1,133 × 708.70
  4. Step 4: Simplify right side
    825.34x = 802,957.10
  5. Step 5: Solve for x
    x = 802,957.10/825.34
  6. Step 6: Final answer
    x = 972.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.