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Finding the Fourth Proportional to 699.44, 964.43 and 447.02

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Solution

The fourth proportional to 699.44, 964.43 and 447.02 is: 616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.44 : 964.43 = 447.02 : x
  2. Step 2: Convert to fraction form
    699.44/964.43 = 447.02/x
  3. Step 3: Cross multiply
    699.44x = 964.43 × 447.02
  4. Step 4: Simplify right side
    699.44x = 431,119.67
  5. Step 5: Solve for x
    x = 431,119.67/699.44
  6. Step 6: Final answer
    x = 616.38

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1.5x scale

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.