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Finding the Fourth Proportional to 664.94, 917.64 and 468.51

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Solution

The fourth proportional to 664.94, 917.64 and 468.51 is: 646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.94 : 917.64 = 468.51 : x
  2. Step 2: Convert to fraction form
    664.94/917.64 = 468.51/x
  3. Step 3: Cross multiply
    664.94x = 917.64 × 468.51
  4. Step 4: Simplify right side
    664.94x = 429,923.52
  5. Step 5: Solve for x
    x = 429,923.52/664.94
  6. Step 6: Final answer
    x = 646.56

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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.