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Finding the Fourth Proportional to 1,187.44, 1,638.62 and 690.07

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Solution

The fourth proportional to 1,187.44, 1,638.62 and 690.07 is: 952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.44 : 1,638.62 = 690.07 : x
  2. Step 2: Convert to fraction form
    1,187.44/1,638.62 = 690.07/x
  3. Step 3: Cross multiply
    1,187.44x = 1,638.62 × 690.07
  4. Step 4: Simplify right side
    1,187.44x = 1,130,763.15
  5. Step 5: Solve for x
    x = 1,130,763.15/1,187.44
  6. Step 6: Final answer
    x = 952.27

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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.