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Finding the Fourth Proportional to 976.03, 1,462.03 and 512.40

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Solution

The fourth proportional to 976.03, 1,462.03 and 512.40 is: 767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.03 : 1,462.03 = 512.40 : x
  2. Step 2: Convert to fraction form
    976.03/1,462.03 = 512.40/x
  3. Step 3: Cross multiply
    976.03x = 1,462.03 × 512.40
  4. Step 4: Simplify right side
    976.03x = 749,144.17
  5. Step 5: Solve for x
    x = 749,144.17/976.03
  6. Step 6: Final answer
    x = 767.54

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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.