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Finding the Fourth Proportional to 975.15, 1,462.43 and 512.68

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Solution

The fourth proportional to 975.15, 1,462.43 and 512.68 is: 768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.15 : 1,462.43 = 512.68 : x
  2. Step 2: Convert to fraction form
    975.15/1,462.43 = 512.68/x
  3. Step 3: Cross multiply
    975.15x = 1,462.43 × 512.68
  4. Step 4: Simplify right side
    975.15x = 749,757.54
  5. Step 5: Solve for x
    x = 749,757.54/975.15
  6. Step 6: Final answer
    x = 768.86

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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.