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Finding the Fourth Proportional to 536.89, 804.49 and 415.45

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Solution

The fourth proportional to 536.89, 804.49 and 415.45 is: 622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.89 : 804.49 = 415.45 : x
  2. Step 2: Convert to fraction form
    536.89/804.49 = 415.45/x
  3. Step 3: Cross multiply
    536.89x = 804.49 × 415.45
  4. Step 4: Simplify right side
    536.89x = 334,225.37
  5. Step 5: Solve for x
    x = 334,225.37/536.89
  6. Step 6: Final answer
    x = 622.52

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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.