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Finding the Fourth Proportional to 559.73, 839.29 and 429.41

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Solution

The fourth proportional to 559.73, 839.29 and 429.41 is: 643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.73 : 839.29 = 429.41 : x
  2. Step 2: Convert to fraction form
    559.73/839.29 = 429.41/x
  3. Step 3: Cross multiply
    559.73x = 839.29 × 429.41
  4. Step 4: Simplify right side
    559.73x = 360,393.18
  5. Step 5: Solve for x
    x = 360,393.18/559.73
  6. Step 6: Final answer
    x = 643.88

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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.