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Finding the Fourth Proportional to 569.90, 786.49 and 348.84

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Solution

The fourth proportional to 569.90, 786.49 and 348.84 is: 481.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.90 : 786.49 = 348.84 : x
  2. Step 2: Convert to fraction form
    569.90/786.49 = 348.84/x
  3. Step 3: Cross multiply
    569.90x = 786.49 × 348.84
  4. Step 4: Simplify right side
    569.90x = 274,358.30
  5. Step 5: Solve for x
    x = 274,358.30/569.90
  6. Step 6: Final answer
    x = 481.41

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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.