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Finding the Fourth Proportional to 976.12, 1,346.82 and 562.12

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Solution

The fourth proportional to 976.12, 1,346.82 and 562.12 is: 775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.12 : 1,346.82 = 562.12 : x
  2. Step 2: Convert to fraction form
    976.12/1,346.82 = 562.12/x
  3. Step 3: Cross multiply
    976.12x = 1,346.82 × 562.12
  4. Step 4: Simplify right side
    976.12x = 757,074.46
  5. Step 5: Solve for x
    x = 757,074.46/976.12
  6. Step 6: Final answer
    x = 775.60

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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.