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Finding the Fourth Proportional to 465.63, 642.80 and 360.48

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Solution

The fourth proportional to 465.63, 642.80 and 360.48 is: 497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.63 : 642.80 = 360.48 : x
  2. Step 2: Convert to fraction form
    465.63/642.80 = 360.48/x
  3. Step 3: Cross multiply
    465.63x = 642.80 × 360.48
  4. Step 4: Simplify right side
    465.63x = 231,716.54
  5. Step 5: Solve for x
    x = 231,716.54/465.63
  6. Step 6: Final answer
    x = 497.64

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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.