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Finding the Fourth Proportional to 861.44, 1,189.06 and 550.94

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Solution

The fourth proportional to 861.44, 1,189.06 and 550.94 is: 760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.44 : 1,189.06 = 550.94 : x
  2. Step 2: Convert to fraction form
    861.44/1,189.06 = 550.94/x
  3. Step 3: Cross multiply
    861.44x = 1,189.06 × 550.94
  4. Step 4: Simplify right side
    861.44x = 655,100.72
  5. Step 5: Solve for x
    x = 655,100.72/861.44
  6. Step 6: Final answer
    x = 760.47

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.