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Finding the Fourth Proportional to 940.82, 1,410.90 and 282.50

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Solution

The fourth proportional to 940.82, 1,410.90 and 282.50 is: 423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.82 : 1,410.90 = 282.50 : x
  2. Step 2: Convert to fraction form
    940.82/1,410.90 = 282.50/x
  3. Step 3: Cross multiply
    940.82x = 1,410.90 × 282.50
  4. Step 4: Simplify right side
    940.82x = 398,579.25
  5. Step 5: Solve for x
    x = 398,579.25/940.82
  6. Step 6: Final answer
    x = 423.65

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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.