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Finding the Fourth Proportional to 544.34, 749.84 and 465.41

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Solution

The fourth proportional to 544.34, 749.84 and 465.41 is: 641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.34 : 749.84 = 465.41 : x
  2. Step 2: Convert to fraction form
    544.34/749.84 = 465.41/x
  3. Step 3: Cross multiply
    544.34x = 749.84 × 465.41
  4. Step 4: Simplify right side
    544.34x = 348,976.96
  5. Step 5: Solve for x
    x = 348,976.96/544.34
  6. Step 6: Final answer
    x = 641.11

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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.