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Finding the Fourth Proportional to 1,144.76, 1,579.74 and 808.31

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Solution

The fourth proportional to 1,144.76, 1,579.74 and 808.31 is: 1,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.76 : 1,579.74 = 808.31 : x
  2. Step 2: Convert to fraction form
    1,144.76/1,579.74 = 808.31/x
  3. Step 3: Cross multiply
    1,144.76x = 1,579.74 × 808.31
  4. Step 4: Simplify right side
    1,144.76x = 1,276,911.74
  5. Step 5: Solve for x
    x = 1,276,911.74/1,144.76
  6. Step 6: Final answer
    x = 1,115.44

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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.