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Finding the Fourth Proportional to 465.89, 693.84 and 460.41

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Solution

The fourth proportional to 465.89, 693.84 and 460.41 is: 685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.89 : 693.84 = 460.41 : x
  2. Step 2: Convert to fraction form
    465.89/693.84 = 460.41/x
  3. Step 3: Cross multiply
    465.89x = 693.84 × 460.41
  4. Step 4: Simplify right side
    465.89x = 319,450.87
  5. Step 5: Solve for x
    x = 319,450.87/465.89
  6. Step 6: Final answer
    x = 685.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.