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Finding the Fourth Proportional to 861.97, 1,292.18 and 313.77

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Solution

The fourth proportional to 861.97, 1,292.18 and 313.77 is: 470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.97 : 1,292.18 = 313.77 : x
  2. Step 2: Convert to fraction form
    861.97/1,292.18 = 313.77/x
  3. Step 3: Cross multiply
    861.97x = 1,292.18 × 313.77
  4. Step 4: Simplify right side
    861.97x = 405,447.32
  5. Step 5: Solve for x
    x = 405,447.32/861.97
  6. Step 6: Final answer
    x = 470.37

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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.