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Finding the Fourth Proportional to 940.70, 1,410.78 and 324.38

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Solution

The fourth proportional to 940.70, 1,410.78 and 324.38 is: 486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.70 : 1,410.78 = 324.38 : x
  2. Step 2: Convert to fraction form
    940.70/1,410.78 = 324.38/x
  3. Step 3: Cross multiply
    940.70x = 1,410.78 × 324.38
  4. Step 4: Simplify right side
    940.70x = 457,628.82
  5. Step 5: Solve for x
    x = 457,628.82/940.70
  6. Step 6: Final answer
    x = 486.48

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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.