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Finding the Fourth Proportional to 975.12, 1,462.20 and 812.88

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Solution

The fourth proportional to 975.12, 1,462.20 and 812.88 is: 1,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.12 : 1,462.20 = 812.88 : x
  2. Step 2: Convert to fraction form
    975.12/1,462.20 = 812.88/x
  3. Step 3: Cross multiply
    975.12x = 1,462.20 × 812.88
  4. Step 4: Simplify right side
    975.12x = 1,188,593.14
  5. Step 5: Solve for x
    x = 1,188,593.14/975.12
  6. Step 6: Final answer
    x = 1,218.92

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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.