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Finding the Fourth Proportional to 708.12, 976.80 and 693.60

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Solution

The fourth proportional to 708.12, 976.80 and 693.60 is: 956.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.12 : 976.80 = 693.60 : x
  2. Step 2: Convert to fraction form
    708.12/976.80 = 693.60/x
  3. Step 3: Cross multiply
    708.12x = 976.80 × 693.60
  4. Step 4: Simplify right side
    708.12x = 677,508.48
  5. Step 5: Solve for x
    x = 677,508.48/708.12
  6. Step 6: Final answer
    x = 956.77

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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.