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Finding the Fourth Proportional to 539.42, 808.70 and 431.14

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Solution

The fourth proportional to 539.42, 808.70 and 431.14 is: 646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.42 : 808.70 = 431.14 : x
  2. Step 2: Convert to fraction form
    539.42/808.70 = 431.14/x
  3. Step 3: Cross multiply
    539.42x = 808.70 × 431.14
  4. Step 4: Simplify right side
    539.42x = 348,662.92
  5. Step 5: Solve for x
    x = 348,662.92/539.42
  6. Step 6: Final answer
    x = 646.37

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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.