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Finding the Fourth Proportional to 945.74, 1,409.37 and 917.57

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Solution

The fourth proportional to 945.74, 1,409.37 and 917.57 is: 1,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.74 : 1,409.37 = 917.57 : x
  2. Step 2: Convert to fraction form
    945.74/1,409.37 = 917.57/x
  3. Step 3: Cross multiply
    945.74x = 1,409.37 × 917.57
  4. Step 4: Simplify right side
    945.74x = 1,293,188.58
  5. Step 5: Solve for x
    x = 1,293,188.58/945.74
  6. Step 6: Final answer
    x = 1,367.39

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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.