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Finding the Fourth Proportional to 901.13, 1,349.55 and 461.30

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Solution

The fourth proportional to 901.13, 1,349.55 and 461.30 is: 690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.13 : 1,349.55 = 461.30 : x
  2. Step 2: Convert to fraction form
    901.13/1,349.55 = 461.30/x
  3. Step 3: Cross multiply
    901.13x = 1,349.55 × 461.30
  4. Step 4: Simplify right side
    901.13x = 622,540.67
  5. Step 5: Solve for x
    x = 622,540.67/901.13
  6. Step 6: Final answer
    x = 690.85

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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.