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Finding the Fourth Proportional to 976.12, 1,462.63 and 792.62

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Solution

The fourth proportional to 976.12, 1,462.63 and 792.62 is: 1,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.12 : 1,462.63 = 792.62 : x
  2. Step 2: Convert to fraction form
    976.12/1,462.63 = 792.62/x
  3. Step 3: Cross multiply
    976.12x = 1,462.63 × 792.62
  4. Step 4: Simplify right side
    976.12x = 1,159,300.50
  5. Step 5: Solve for x
    x = 1,159,300.50/976.12
  6. Step 6: Final answer
    x = 1,187.66

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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.