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Finding the Fourth Proportional to 632.06, 945.09 and 576.92

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Solution

The fourth proportional to 632.06, 945.09 and 576.92 is: 862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.06 : 945.09 = 576.92 : x
  2. Step 2: Convert to fraction form
    632.06/945.09 = 576.92/x
  3. Step 3: Cross multiply
    632.06x = 945.09 × 576.92
  4. Step 4: Simplify right side
    632.06x = 545,236.60
  5. Step 5: Solve for x
    x = 545,236.60/632.06
  6. Step 6: Final answer
    x = 862.64

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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.