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Finding the Fourth Proportional to 634.08, 945.72 and 546.42

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Solution

The fourth proportional to 634.08, 945.72 and 546.42 is: 814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.08 : 945.72 = 546.42 : x
  2. Step 2: Convert to fraction form
    634.08/945.72 = 546.42/x
  3. Step 3: Cross multiply
    634.08x = 945.72 × 546.42
  4. Step 4: Simplify right side
    634.08x = 516,760.32
  5. Step 5: Solve for x
    x = 516,760.32/634.08
  6. Step 6: Final answer
    x = 814.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.