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Finding the Fourth Proportional to 976.17, 1,462.84 and 488.55

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Solution

The fourth proportional to 976.17, 1,462.84 and 488.55 is: 732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.17 : 1,462.84 = 488.55 : x
  2. Step 2: Convert to fraction form
    976.17/1,462.84 = 488.55/x
  3. Step 3: Cross multiply
    976.17x = 1,462.84 × 488.55
  4. Step 4: Simplify right side
    976.17x = 714,668.04
  5. Step 5: Solve for x
    x = 714,668.04/976.17
  6. Step 6: Final answer
    x = 732.11

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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.