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Finding the Fourth Proportional to 976.23, 1,462.89 and 488.61

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Solution

The fourth proportional to 976.23, 1,462.89 and 488.61 is: 732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.23 : 1,462.89 = 488.61 : x
  2. Step 2: Convert to fraction form
    976.23/1,462.89 = 488.61/x
  3. Step 3: Cross multiply
    976.23x = 1,462.89 × 488.61
  4. Step 4: Simplify right side
    976.23x = 714,782.68
  5. Step 5: Solve for x
    x = 714,782.68/976.23
  6. Step 6: Final answer
    x = 732.19

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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.