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Finding the Fourth Proportional to 861.51, 1,292.94 and 399.81

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Solution

The fourth proportional to 861.51, 1,292.94 and 399.81 is: 600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.51 : 1,292.94 = 399.81 : x
  2. Step 2: Convert to fraction form
    861.51/1,292.94 = 399.81/x
  3. Step 3: Cross multiply
    861.51x = 1,292.94 × 399.81
  4. Step 4: Simplify right side
    861.51x = 516,930.34
  5. Step 5: Solve for x
    x = 516,930.34/861.51
  6. Step 6: Final answer
    x = 600.03

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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.