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Finding the Fourth Proportional to 568.81, 852.43 and 259.89

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Solution

The fourth proportional to 568.81, 852.43 and 259.89 is: 389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.81 : 852.43 = 259.89 : x
  2. Step 2: Convert to fraction form
    568.81/852.43 = 259.89/x
  3. Step 3: Cross multiply
    568.81x = 852.43 × 259.89
  4. Step 4: Simplify right side
    568.81x = 221,536.73
  5. Step 5: Solve for x
    x = 221,536.73/568.81
  6. Step 6: Final answer
    x = 389.47

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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.