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Finding the Fourth Proportional to 847, 1,270.66 and 391

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Solution

The fourth proportional to 847, 1,270.66 and 391 is: 586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    847 : 1,270.66 = 391 : x
  2. Step 2: Convert to fraction form
    847/1,270.66 = 391/x
  3. Step 3: Cross multiply
    847x = 1,270.66 × 391
  4. Step 4: Simplify right side
    847x = 496,828.06
  5. Step 5: Solve for x
    x = 496,828.06/847
  6. Step 6: Final answer
    x = 586.57

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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.