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Finding the Fourth Proportional to 465.69, 701.24 and 408.54

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Solution

The fourth proportional to 465.69, 701.24 and 408.54 is: 615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.69 : 701.24 = 408.54 : x
  2. Step 2: Convert to fraction form
    465.69/701.24 = 408.54/x
  3. Step 3: Cross multiply
    465.69x = 701.24 × 408.54
  4. Step 4: Simplify right side
    465.69x = 286,485.61
  5. Step 5: Solve for x
    x = 286,485.61/465.69
  6. Step 6: Final answer
    x = 615.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.