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Finding the Fourth Proportional to 940.82, 1,411.56 and 420.78

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Solution

The fourth proportional to 940.82, 1,411.56 and 420.78 is: 631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.82 : 1,411.56 = 420.78 : x
  2. Step 2: Convert to fraction form
    940.82/1,411.56 = 420.78/x
  3. Step 3: Cross multiply
    940.82x = 1,411.56 × 420.78
  4. Step 4: Simplify right side
    940.82x = 593,949.16
  5. Step 5: Solve for x
    x = 593,949.16/940.82
  6. Step 6: Final answer
    x = 631.31

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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.