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Finding the Fourth Proportional to 766.10, 1,149.15 and 441.20

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Solution

The fourth proportional to 766.10, 1,149.15 and 441.20 is: 661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.10 : 1,149.15 = 441.20 : x
  2. Step 2: Convert to fraction form
    766.10/1,149.15 = 441.20/x
  3. Step 3: Cross multiply
    766.10x = 1,149.15 × 441.20
  4. Step 4: Simplify right side
    766.10x = 507,004.98
  5. Step 5: Solve for x
    x = 507,004.98/766.10
  6. Step 6: Final answer
    x = 661.80

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Half scale
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Double scale
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Similar ratio
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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.