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Finding the Fourth Proportional to 577.49, 865.50 and 415.49

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Solution

The fourth proportional to 577.49, 865.50 and 415.49 is: 622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.49 : 865.50 = 415.49 : x
  2. Step 2: Convert to fraction form
    577.49/865.50 = 415.49/x
  3. Step 3: Cross multiply
    577.49x = 865.50 × 415.49
  4. Step 4: Simplify right side
    577.49x = 359,606.60
  5. Step 5: Solve for x
    x = 359,606.60/577.49
  6. Step 6: Final answer
    x = 622.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.