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Finding the Fourth Proportional to 901.85, 1,353.05 and 381.59

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Solution

The fourth proportional to 901.85, 1,353.05 and 381.59 is: 572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.85 : 1,353.05 = 381.59 : x
  2. Step 2: Convert to fraction form
    901.85/1,353.05 = 381.59/x
  3. Step 3: Cross multiply
    901.85x = 1,353.05 × 381.59
  4. Step 4: Simplify right side
    901.85x = 516,301.68
  5. Step 5: Solve for x
    x = 516,301.68/901.85
  6. Step 6: Final answer
    x = 572.49

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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.