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Finding the Fourth Proportional to 1,072.26, 1,606.95 and 609.86

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Solution

The fourth proportional to 1,072.26, 1,606.95 and 609.86 is: 913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.26 : 1,606.95 = 609.86 : x
  2. Step 2: Convert to fraction form
    1,072.26/1,606.95 = 609.86/x
  3. Step 3: Cross multiply
    1,072.26x = 1,606.95 × 609.86
  4. Step 4: Simplify right side
    1,072.26x = 980,006.49
  5. Step 5: Solve for x
    x = 980,006.49/1,072.26
  6. Step 6: Final answer
    x = 913.96

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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.