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Finding the Fourth Proportional to 1,128.70, 1,693.14 and 641.26

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Solution

The fourth proportional to 1,128.70, 1,693.14 and 641.26 is: 961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.70 : 1,693.14 = 641.26 : x
  2. Step 2: Convert to fraction form
    1,128.70/1,693.14 = 641.26/x
  3. Step 3: Cross multiply
    1,128.70x = 1,693.14 × 641.26
  4. Step 4: Simplify right side
    1,128.70x = 1,085,742.96
  5. Step 5: Solve for x
    x = 1,085,742.96/1,128.70
  6. Step 6: Final answer
    x = 961.94

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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.