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Finding the Fourth Proportional to 1,143.36, 1,580.76 and 865.05

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Solution

The fourth proportional to 1,143.36, 1,580.76 and 865.05 is: 1,195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.36 : 1,580.76 = 865.05 : x
  2. Step 2: Convert to fraction form
    1,143.36/1,580.76 = 865.05/x
  3. Step 3: Cross multiply
    1,143.36x = 1,580.76 × 865.05
  4. Step 4: Simplify right side
    1,143.36x = 1,367,436.44
  5. Step 5: Solve for x
    x = 1,367,436.44/1,143.36
  6. Step 6: Final answer
    x = 1,195.98

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Half 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.