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Finding the Fourth Proportional to 699.07, 964.19 and 668.05

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Solution

The fourth proportional to 699.07, 964.19 and 668.05 is: 921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.07 : 964.19 = 668.05 : x
  2. Step 2: Convert to fraction form
    699.07/964.19 = 668.05/x
  3. Step 3: Cross multiply
    699.07x = 964.19 × 668.05
  4. Step 4: Simplify right side
    699.07x = 644,123.88
  5. Step 5: Solve for x
    x = 644,123.88/699.07
  6. Step 6: Final answer
    x = 921.40

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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.