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Finding the Fourth Proportional to 861.69, 1,188.66 and 744.15

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Solution

The fourth proportional to 861.69, 1,188.66 and 744.15 is: 1,026.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.69 : 1,188.66 = 744.15 : x
  2. Step 2: Convert to fraction form
    861.69/1,188.66 = 744.15/x
  3. Step 3: Cross multiply
    861.69x = 1,188.66 × 744.15
  4. Step 4: Simplify right side
    861.69x = 884,541.34
  5. Step 5: Solve for x
    x = 884,541.34/861.69
  6. Step 6: Final answer
    x = 1,026.52

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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.