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Finding the Fourth Proportional to 911.86, 1,259.40 and 727.36

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Solution

The fourth proportional to 911.86, 1,259.40 and 727.36 is: 1,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.86 : 1,259.40 = 727.36 : x
  2. Step 2: Convert to fraction form
    911.86/1,259.40 = 727.36/x
  3. Step 3: Cross multiply
    911.86x = 1,259.40 × 727.36
  4. Step 4: Simplify right side
    911.86x = 916,037.18
  5. Step 5: Solve for x
    x = 916,037.18/911.86
  6. Step 6: Final answer
    x = 1,004.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.