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Finding the Fourth Proportional to 699.42, 964.90 and 419.57

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Solution

The fourth proportional to 699.42, 964.90 and 419.57 is: 578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.42 : 964.90 = 419.57 : x
  2. Step 2: Convert to fraction form
    699.42/964.90 = 419.57/x
  3. Step 3: Cross multiply
    699.42x = 964.90 × 419.57
  4. Step 4: Simplify right side
    699.42x = 404,836.17
  5. Step 5: Solve for x
    x = 404,836.17/699.42
  6. Step 6: Final answer
    x = 578.82

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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.