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Finding the Fourth Proportional to 940.49, 1,410.73 and 427.13

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Solution

The fourth proportional to 940.49, 1,410.73 and 427.13 is: 640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.49 : 1,410.73 = 427.13 : x
  2. Step 2: Convert to fraction form
    940.49/1,410.73 = 427.13/x
  3. Step 3: Cross multiply
    940.49x = 1,410.73 × 427.13
  4. Step 4: Simplify right side
    940.49x = 602,556.98
  5. Step 5: Solve for x
    x = 602,556.98/940.49
  6. Step 6: Final answer
    x = 640.69

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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.