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Finding the Fourth Proportional to 636.40, 947.82 and 613.72

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Solution

The fourth proportional to 636.40, 947.82 and 613.72 is: 914.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.40 : 947.82 = 613.72 : x
  2. Step 2: Convert to fraction form
    636.40/947.82 = 613.72/x
  3. Step 3: Cross multiply
    636.40x = 947.82 × 613.72
  4. Step 4: Simplify right side
    636.40x = 581,696.09
  5. Step 5: Solve for x
    x = 581,696.09/636.40
  6. Step 6: Final answer
    x = 914.04

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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.