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Finding the Fourth Proportional to 668.88, 916.38 and 642.96

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Solution

The fourth proportional to 668.88, 916.38 and 642.96 is: 880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.88 : 916.38 = 642.96 : x
  2. Step 2: Convert to fraction form
    668.88/916.38 = 642.96/x
  3. Step 3: Cross multiply
    668.88x = 916.38 × 642.96
  4. Step 4: Simplify right side
    668.88x = 589,195.68
  5. Step 5: Solve for x
    x = 589,195.68/668.88
  6. Step 6: Final answer
    x = 880.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.