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Finding the Fourth Proportional to 584.50, 876.54 and 259.78

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Solution

The fourth proportional to 584.50, 876.54 and 259.78 is: 389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.50 : 876.54 = 259.78 : x
  2. Step 2: Convert to fraction form
    584.50/876.54 = 259.78/x
  3. Step 3: Cross multiply
    584.50x = 876.54 × 259.78
  4. Step 4: Simplify right side
    584.50x = 227,707.56
  5. Step 5: Solve for x
    x = 227,707.56/584.50
  6. Step 6: Final answer
    x = 389.58

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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.