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Finding the Fourth Proportional to 539.85, 808.30 and 429.64

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Solution

The fourth proportional to 539.85, 808.30 and 429.64 is: 643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.85 : 808.30 = 429.64 : x
  2. Step 2: Convert to fraction form
    539.85/808.30 = 429.64/x
  3. Step 3: Cross multiply
    539.85x = 808.30 × 429.64
  4. Step 4: Simplify right side
    539.85x = 347,278.01
  5. Step 5: Solve for x
    x = 347,278.01/539.85
  6. Step 6: Final answer
    x = 643.29

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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.