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Finding the Fourth Proportional to 566.29, 847.47 and 391.78

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Solution

The fourth proportional to 566.29, 847.47 and 391.78 is: 586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.29 : 847.47 = 391.78 : x
  2. Step 2: Convert to fraction form
    566.29/847.47 = 391.78/x
  3. Step 3: Cross multiply
    566.29x = 847.47 × 391.78
  4. Step 4: Simplify right side
    566.29x = 332,021.80
  5. Step 5: Solve for x
    x = 332,021.80/566.29
  6. Step 6: Final answer
    x = 586.32

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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.