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Finding the Fourth Proportional to 1,072.95, 1,609.73 and 553.33

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Solution

The fourth proportional to 1,072.95, 1,609.73 and 553.33 is: 830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.95 : 1,609.73 = 553.33 : x
  2. Step 2: Convert to fraction form
    1,072.95/1,609.73 = 553.33/x
  3. Step 3: Cross multiply
    1,072.95x = 1,609.73 × 553.33
  4. Step 4: Simplify right side
    1,072.95x = 890,709.13
  5. Step 5: Solve for x
    x = 890,709.13/1,072.95
  6. Step 6: Final answer
    x = 830.15

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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.