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Finding the Fourth Proportional to 861.98, 1,190.16 and 685.67

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Solution

The fourth proportional to 861.98, 1,190.16 and 685.67 is: 946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.98 : 1,190.16 = 685.67 : x
  2. Step 2: Convert to fraction form
    861.98/1,190.16 = 685.67/x
  3. Step 3: Cross multiply
    861.98x = 1,190.16 × 685.67
  4. Step 4: Simplify right side
    861.98x = 816,051.06
  5. Step 5: Solve for x
    x = 816,051.06/861.98
  6. Step 6: Final answer
    x = 946.72

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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.