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Finding the Fourth Proportional to 1,407.31, 2,110.46 and 482.62

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Solution

The fourth proportional to 1,407.31, 2,110.46 and 482.62 is: 723.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.31 : 2,110.46 = 482.62 : x
  2. Step 2: Convert to fraction form
    1,407.31/2,110.46 = 482.62/x
  3. Step 3: Cross multiply
    1,407.31x = 2,110.46 × 482.62
  4. Step 4: Simplify right side
    1,407.31x = 1,018,540.54
  5. Step 5: Solve for x
    x = 1,018,540.54/1,407.31
  6. Step 6: Final answer
    x = 723.75

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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.