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Finding the Fourth Proportional to 1,293.01, 1,939.48 and 319.12

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Solution

The fourth proportional to 1,293.01, 1,939.48 and 319.12 is: 478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.01 : 1,939.48 = 319.12 : x
  2. Step 2: Convert to fraction form
    1,293.01/1,939.48 = 319.12/x
  3. Step 3: Cross multiply
    1,293.01x = 1,939.48 × 319.12
  4. Step 4: Simplify right side
    1,293.01x = 618,921.21
  5. Step 5: Solve for x
    x = 618,921.21/1,293.01
  6. Step 6: Final answer
    x = 478.67

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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.