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Finding the Fourth Proportional to 911.36, 1,256.64 and 734.24

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Solution

The fourth proportional to 911.36, 1,256.64 and 734.24 is: 1,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.36 : 1,256.64 = 734.24 : x
  2. Step 2: Convert to fraction form
    911.36/1,256.64 = 734.24/x
  3. Step 3: Cross multiply
    911.36x = 1,256.64 × 734.24
  4. Step 4: Simplify right side
    911.36x = 922,675.35
  5. Step 5: Solve for x
    x = 922,675.35/911.36
  6. Step 6: Final answer
    x = 1,012.42

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Half scale
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Double scale
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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.