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Finding the Fourth Proportional to 1,072.73, 1,609.80 and 633.81

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Solution

The fourth proportional to 1,072.73, 1,609.80 and 633.81 is: 951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.73 : 1,609.80 = 633.81 : x
  2. Step 2: Convert to fraction form
    1,072.73/1,609.80 = 633.81/x
  3. Step 3: Cross multiply
    1,072.73x = 1,609.80 × 633.81
  4. Step 4: Simplify right side
    1,072.73x = 1,020,307.34
  5. Step 5: Solve for x
    x = 1,020,307.34/1,072.73
  6. Step 6: Final answer
    x = 951.14

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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.