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Finding the Fourth Proportional to 566.09, 780.98 and 344.96

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Solution

The fourth proportional to 566.09, 780.98 and 344.96 is: 475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.09 : 780.98 = 344.96 : x
  2. Step 2: Convert to fraction form
    566.09/780.98 = 344.96/x
  3. Step 3: Cross multiply
    566.09x = 780.98 × 344.96
  4. Step 4: Simplify right side
    566.09x = 269,401.23
  5. Step 5: Solve for x
    x = 269,401.23/566.09
  6. Step 6: Final answer
    x = 475.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.