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Finding the Fourth Proportional to 664.63, 917.27 and 498.57

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Solution

The fourth proportional to 664.63, 917.27 and 498.57 is: 688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.63 : 917.27 = 498.57 : x
  2. Step 2: Convert to fraction form
    664.63/917.27 = 498.57/x
  3. Step 3: Cross multiply
    664.63x = 917.27 × 498.57
  4. Step 4: Simplify right side
    664.63x = 457,323.30
  5. Step 5: Solve for x
    x = 457,323.30/664.63
  6. Step 6: Final answer
    x = 688.09

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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.