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Finding the Fourth Proportional to 634.11, 948.04 and 537.69

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Solution

The fourth proportional to 634.11, 948.04 and 537.69 is: 803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.11 : 948.04 = 537.69 : x
  2. Step 2: Convert to fraction form
    634.11/948.04 = 537.69/x
  3. Step 3: Cross multiply
    634.11x = 948.04 × 537.69
  4. Step 4: Simplify right side
    634.11x = 509,751.63
  5. Step 5: Solve for x
    x = 509,751.63/634.11
  6. Step 6: Final answer
    x = 803.89

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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.