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Finding the Fourth Proportional to 584.31, 876.80 and 259.67

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Solution

The fourth proportional to 584.31, 876.80 and 259.67 is: 389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.31 : 876.80 = 259.67 : x
  2. Step 2: Convert to fraction form
    584.31/876.80 = 259.67/x
  3. Step 3: Cross multiply
    584.31x = 876.80 × 259.67
  4. Step 4: Simplify right side
    584.31x = 227,672.97
  5. Step 5: Solve for x
    x = 227,672.97/584.31
  6. Step 6: Final answer
    x = 389.64

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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.