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Finding the Fourth Proportional to 708.54, 1,056.79 and 664.44

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Solution

The fourth proportional to 708.54, 1,056.79 and 664.44 is: 991.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.54 : 1,056.79 = 664.44 : x
  2. Step 2: Convert to fraction form
    708.54/1,056.79 = 664.44/x
  3. Step 3: Cross multiply
    708.54x = 1,056.79 × 664.44
  4. Step 4: Simplify right side
    708.54x = 702,173.55
  5. Step 5: Solve for x
    x = 702,173.55/708.54
  6. Step 6: Final answer
    x = 991.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.