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Finding the Fourth Proportional to 718.35, 1,076.31 and 664.89

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Solution

The fourth proportional to 718.35, 1,076.31 and 664.89 is: 996.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.35 : 1,076.31 = 664.89 : x
  2. Step 2: Convert to fraction form
    718.35/1,076.31 = 664.89/x
  3. Step 3: Cross multiply
    718.35x = 1,076.31 × 664.89
  4. Step 4: Simplify right side
    718.35x = 715,627.76
  5. Step 5: Solve for x
    x = 715,627.76/718.35
  6. Step 6: Final answer
    x = 996.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.