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Finding the Fourth Proportional to 698.93, 964.37 and 419.24

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Solution

The fourth proportional to 698.93, 964.37 and 419.24 is: 578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.93 : 964.37 = 419.24 : x
  2. Step 2: Convert to fraction form
    698.93/964.37 = 419.24/x
  3. Step 3: Cross multiply
    698.93x = 964.37 × 419.24
  4. Step 4: Simplify right side
    698.93x = 404,305.94
  5. Step 5: Solve for x
    x = 404,305.94/698.93
  6. Step 6: Final answer
    x = 578.47

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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.