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Finding the Fourth Proportional to 664.68, 917.70 and 432.20

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Solution

The fourth proportional to 664.68, 917.70 and 432.20 is: 596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.68 : 917.70 = 432.20 : x
  2. Step 2: Convert to fraction form
    664.68/917.70 = 432.20/x
  3. Step 3: Cross multiply
    664.68x = 917.70 × 432.20
  4. Step 4: Simplify right side
    664.68x = 396,629.94
  5. Step 5: Solve for x
    x = 396,629.94/664.68
  6. Step 6: Final answer
    x = 596.72

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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.