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Finding the Fourth Proportional to 861.31, 1,190.35 and 651.42

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Solution

The fourth proportional to 861.31, 1,190.35 and 651.42 is: 900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.31 : 1,190.35 = 651.42 : x
  2. Step 2: Convert to fraction form
    861.31/1,190.35 = 651.42/x
  3. Step 3: Cross multiply
    861.31x = 1,190.35 × 651.42
  4. Step 4: Simplify right side
    861.31x = 775,418.61
  5. Step 5: Solve for x
    x = 775,418.61/861.31
  6. Step 6: Final answer
    x = 900.28

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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.