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Finding the Fourth Proportional to 723.18, 989.64 and 708.06

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Solution

The fourth proportional to 723.18, 989.64 and 708.06 is: 968.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.18 : 989.64 = 708.06 : x
  2. Step 2: Convert to fraction form
    723.18/989.64 = 708.06/x
  3. Step 3: Cross multiply
    723.18x = 989.64 × 708.06
  4. Step 4: Simplify right side
    723.18x = 700,724.50
  5. Step 5: Solve for x
    x = 700,724.50/723.18
  6. Step 6: Final answer
    x = 968.95

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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.