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Finding the Fourth Proportional to 708.91, 978.62 and 664.63

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Solution

The fourth proportional to 708.91, 978.62 and 664.63 is: 917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.91 : 978.62 = 664.63 : x
  2. Step 2: Convert to fraction form
    708.91/978.62 = 664.63/x
  3. Step 3: Cross multiply
    708.91x = 978.62 × 664.63
  4. Step 4: Simplify right side
    708.91x = 650,414.44
  5. Step 5: Solve for x
    x = 650,414.44/708.91
  6. Step 6: Final answer
    x = 917.49

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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.