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Finding the Fourth Proportional to 566.19, 847.26 and 443.61

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Solution

The fourth proportional to 566.19, 847.26 and 443.61 is: 663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.19 : 847.26 = 443.61 : x
  2. Step 2: Convert to fraction form
    566.19/847.26 = 443.61/x
  3. Step 3: Cross multiply
    566.19x = 847.26 × 443.61
  4. Step 4: Simplify right side
    566.19x = 375,853.01
  5. Step 5: Solve for x
    x = 375,853.01/566.19
  6. Step 6: Final answer
    x = 663.83

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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.