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Finding the Fourth Proportional to 1,187.41, 1,638.27 and 689.96

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Solution

The fourth proportional to 1,187.41, 1,638.27 and 689.96 is: 951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.41 : 1,638.27 = 689.96 : x
  2. Step 2: Convert to fraction form
    1,187.41/1,638.27 = 689.96/x
  3. Step 3: Cross multiply
    1,187.41x = 1,638.27 × 689.96
  4. Step 4: Simplify right side
    1,187.41x = 1,130,333.22
  5. Step 5: Solve for x
    x = 1,130,333.22/1,187.41
  6. Step 6: Final answer
    x = 951.93

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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.