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Finding the Fourth Proportional to 465.35, 701.46 and 438.82

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Solution

The fourth proportional to 465.35, 701.46 and 438.82 is: 661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.35 : 701.46 = 438.82 : x
  2. Step 2: Convert to fraction form
    465.35/701.46 = 438.82/x
  3. Step 3: Cross multiply
    465.35x = 701.46 × 438.82
  4. Step 4: Simplify right side
    465.35x = 307,812.92
  5. Step 5: Solve for x
    x = 307,812.92/465.35
  6. Step 6: Final answer
    x = 661.47

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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.