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Finding the Fourth Proportional to 1,187.12, 1,638.34 and 689.96

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Solution

The fourth proportional to 1,187.12, 1,638.34 and 689.96 is: 952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.12 : 1,638.34 = 689.96 : x
  2. Step 2: Convert to fraction form
    1,187.12/1,638.34 = 689.96/x
  3. Step 3: Cross multiply
    1,187.12x = 1,638.34 × 689.96
  4. Step 4: Simplify right side
    1,187.12x = 1,130,389.07
  5. Step 5: Solve for x
    x = 1,130,389.07/1,187.12
  6. Step 6: Final answer
    x = 952.21

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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.