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Finding the Fourth Proportional to 1,464.84, 2,197.78 and 490.94

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Solution

The fourth proportional to 1,464.84, 2,197.78 and 490.94 is: 736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.84 : 2,197.78 = 490.94 : x
  2. Step 2: Convert to fraction form
    1,464.84/2,197.78 = 490.94/x
  3. Step 3: Cross multiply
    1,464.84x = 2,197.78 × 490.94
  4. Step 4: Simplify right side
    1,464.84x = 1,078,978.11
  5. Step 5: Solve for x
    x = 1,078,978.11/1,464.84
  6. Step 6: Final answer
    x = 736.58

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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.