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Finding the Fourth Proportional to 465.78, 641.34 and 386.94

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Solution

The fourth proportional to 465.78, 641.34 and 386.94 is: 532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.78 : 641.34 = 386.94 : x
  2. Step 2: Convert to fraction form
    465.78/641.34 = 386.94/x
  3. Step 3: Cross multiply
    465.78x = 641.34 × 386.94
  4. Step 4: Simplify right side
    465.78x = 248,160.10
  5. Step 5: Solve for x
    x = 248,160.10/465.78
  6. Step 6: Final answer
    x = 532.78

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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.