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Finding the Fourth Proportional to 861.98, 1,189.35 and 832.34

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Solution

The fourth proportional to 861.98, 1,189.35 and 832.34 is: 1,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.98 : 1,189.35 = 832.34 : x
  2. Step 2: Convert to fraction form
    861.98/1,189.35 = 832.34/x
  3. Step 3: Cross multiply
    861.98x = 1,189.35 × 832.34
  4. Step 4: Simplify right side
    861.98x = 989,946.55
  5. Step 5: Solve for x
    x = 989,946.55/861.98
  6. Step 6: Final answer
    x = 1,148.46

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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.