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Finding the Fourth Proportional to 1,187.53, 1,638.67 and 690.27

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Solution

The fourth proportional to 1,187.53, 1,638.67 and 690.27 is: 952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.53 : 1,638.67 = 690.27 : x
  2. Step 2: Convert to fraction form
    1,187.53/1,638.67 = 690.27/x
  3. Step 3: Cross multiply
    1,187.53x = 1,638.67 × 690.27
  4. Step 4: Simplify right side
    1,187.53x = 1,131,124.74
  5. Step 5: Solve for x
    x = 1,131,124.74/1,187.53
  6. Step 6: Final answer
    x = 952.50

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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.