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Finding the Fourth Proportional to 536.83, 803.42 and 427.48

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Solution

The fourth proportional to 536.83, 803.42 and 427.48 is: 639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.83 : 803.42 = 427.48 : x
  2. Step 2: Convert to fraction form
    536.83/803.42 = 427.48/x
  3. Step 3: Cross multiply
    536.83x = 803.42 × 427.48
  4. Step 4: Simplify right side
    536.83x = 343,445.98
  5. Step 5: Solve for x
    x = 343,445.98/536.83
  6. Step 6: Final answer
    x = 639.77

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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.