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Finding the Fourth Proportional to 994.92, 1,491.78 and 378.48

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Solution

The fourth proportional to 994.92, 1,491.78 and 378.48 is: 567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.92 : 1,491.78 = 378.48 : x
  2. Step 2: Convert to fraction form
    994.92/1,491.78 = 378.48/x
  3. Step 3: Cross multiply
    994.92x = 1,491.78 × 378.48
  4. Step 4: Simplify right side
    994.92x = 564,608.89
  5. Step 5: Solve for x
    x = 564,608.89/994.92
  6. Step 6: Final answer
    x = 567.49

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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.