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Finding the Fourth Proportional to 536.98, 804.56 and 374.62

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Solution

The fourth proportional to 536.98, 804.56 and 374.62 is: 561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.98 : 804.56 = 374.62 : x
  2. Step 2: Convert to fraction form
    536.98/804.56 = 374.62/x
  3. Step 3: Cross multiply
    536.98x = 804.56 × 374.62
  4. Step 4: Simplify right side
    536.98x = 301,404.27
  5. Step 5: Solve for x
    x = 301,404.27/536.98
  6. Step 6: Final answer
    x = 561.30

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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.