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Finding the Fourth Proportional to 976.04, 1,463.88 and 512.36

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Solution

The fourth proportional to 976.04, 1,463.88 and 512.36 is: 768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.04 : 1,463.88 = 512.36 : x
  2. Step 2: Convert to fraction form
    976.04/1,463.88 = 512.36/x
  3. Step 3: Cross multiply
    976.04x = 1,463.88 × 512.36
  4. Step 4: Simplify right side
    976.04x = 750,033.56
  5. Step 5: Solve for x
    x = 750,033.56/976.04
  6. Step 6: Final answer
    x = 768.45

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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.