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Finding the Fourth Proportional to 1,287.89, 1,932.15 and 466.22

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Solution

The fourth proportional to 1,287.89, 1,932.15 and 466.22 is: 699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.89 : 1,932.15 = 466.22 : x
  2. Step 2: Convert to fraction form
    1,287.89/1,932.15 = 466.22/x
  3. Step 3: Cross multiply
    1,287.89x = 1,932.15 × 466.22
  4. Step 4: Simplify right side
    1,287.89x = 900,806.97
  5. Step 5: Solve for x
    x = 900,806.97/1,287.89
  6. Step 6: Final answer
    x = 699.44

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.