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Finding the Fourth Proportional to 584.75, 876.76 and 276.67

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Solution

The fourth proportional to 584.75, 876.76 and 276.67 is: 414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.75 : 876.76 = 276.67 : x
  2. Step 2: Convert to fraction form
    584.75/876.76 = 276.67/x
  3. Step 3: Cross multiply
    584.75x = 876.76 × 276.67
  4. Step 4: Simplify right side
    584.75x = 242,573.19
  5. Step 5: Solve for x
    x = 242,573.19/584.75
  6. Step 6: Final answer
    x = 414.83

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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.