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Finding the Fourth Proportional to 1,293.25, 1,939.92 and 427.63

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Solution

The fourth proportional to 1,293.25, 1,939.92 and 427.63 is: 641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.25 : 1,939.92 = 427.63 : x
  2. Step 2: Convert to fraction form
    1,293.25/1,939.92 = 427.63/x
  3. Step 3: Cross multiply
    1,293.25x = 1,939.92 × 427.63
  4. Step 4: Simplify right side
    1,293.25x = 829,567.99
  5. Step 5: Solve for x
    x = 829,567.99/1,293.25
  6. Step 6: Final answer
    x = 641.46

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Half scale
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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.