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Finding the Fourth Proportional to 1,464.53, 2,197.25 and 643.49

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Solution

The fourth proportional to 1,464.53, 2,197.25 and 643.49 is: 965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.53 : 2,197.25 = 643.49 : x
  2. Step 2: Convert to fraction form
    1,464.53/2,197.25 = 643.49/x
  3. Step 3: Cross multiply
    1,464.53x = 2,197.25 × 643.49
  4. Step 4: Simplify right side
    1,464.53x = 1,413,904.85
  5. Step 5: Solve for x
    x = 1,413,904.85/1,464.53
  6. Step 6: Final answer
    x = 965.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.