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Finding the Fourth Proportional to 901.46, 1,352.39 and 381.47

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Solution

The fourth proportional to 901.46, 1,352.39 and 381.47 is: 572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.46 : 1,352.39 = 381.47 : x
  2. Step 2: Convert to fraction form
    901.46/1,352.39 = 381.47/x
  3. Step 3: Cross multiply
    901.46x = 1,352.39 × 381.47
  4. Step 4: Simplify right side
    901.46x = 515,887.54
  5. Step 5: Solve for x
    x = 515,887.54/901.46
  6. Step 6: Final answer
    x = 572.28

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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.