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Finding the Fourth Proportional to 699.42, 964.83 and 419.52

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Solution

The fourth proportional to 699.42, 964.83 and 419.52 is: 578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.42 : 964.83 = 419.52 : x
  2. Step 2: Convert to fraction form
    699.42/964.83 = 419.52/x
  3. Step 3: Cross multiply
    699.42x = 964.83 × 419.52
  4. Step 4: Simplify right side
    699.42x = 404,760.66
  5. Step 5: Solve for x
    x = 404,760.66/699.42
  6. Step 6: Final answer
    x = 578.71

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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.