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Finding the Fourth Proportional to 664.94, 917.83 and 455.03

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Solution

The fourth proportional to 664.94, 917.83 and 455.03 is: 628.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.94 : 917.83 = 455.03 : x
  2. Step 2: Convert to fraction form
    664.94/917.83 = 455.03/x
  3. Step 3: Cross multiply
    664.94x = 917.83 × 455.03
  4. Step 4: Simplify right side
    664.94x = 417,642.21
  5. Step 5: Solve for x
    x = 417,642.21/664.94
  6. Step 6: Final answer
    x = 628.09

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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.