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Finding the Fourth Proportional to 664.98, 915.76 and 662.96

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Solution

The fourth proportional to 664.98, 915.76 and 662.96 is: 912.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.98 : 915.76 = 662.96 : x
  2. Step 2: Convert to fraction form
    664.98/915.76 = 662.96/x
  3. Step 3: Cross multiply
    664.98x = 915.76 × 662.96
  4. Step 4: Simplify right side
    664.98x = 607,112.25
  5. Step 5: Solve for x
    x = 607,112.25/664.98
  6. Step 6: Final answer
    x = 912.98

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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.