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Finding the Fourth Proportional to 569.42, 786.22 and 348.67

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Solution

The fourth proportional to 569.42, 786.22 and 348.67 is: 481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.42 : 786.22 = 348.67 : x
  2. Step 2: Convert to fraction form
    569.42/786.22 = 348.67/x
  3. Step 3: Cross multiply
    569.42x = 786.22 × 348.67
  4. Step 4: Simplify right side
    569.42x = 274,130.46
  5. Step 5: Solve for x
    x = 274,130.46/569.42
  6. Step 6: Final answer
    x = 481.42

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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.