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Finding the Fourth Proportional to 1,187.68, 1,638.90 and 690.13

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Solution

The fourth proportional to 1,187.68, 1,638.90 and 690.13 is: 952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.68 : 1,638.90 = 690.13 : x
  2. Step 2: Convert to fraction form
    1,187.68/1,638.90 = 690.13/x
  3. Step 3: Cross multiply
    1,187.68x = 1,638.90 × 690.13
  4. Step 4: Simplify right side
    1,187.68x = 1,131,054.06
  5. Step 5: Solve for x
    x = 1,131,054.06/1,187.68
  6. Step 6: Final answer
    x = 952.32

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1.5x scale

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.