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Finding the Fourth Proportional to 1,191.19, 1,777.02 and 1,157.68

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Solution

The fourth proportional to 1,191.19, 1,777.02 and 1,157.68 is: 1,727.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.19 : 1,777.02 = 1,157.68 : x
  2. Step 2: Convert to fraction form
    1,191.19/1,777.02 = 1,157.68/x
  3. Step 3: Cross multiply
    1,191.19x = 1,777.02 × 1,157.68
  4. Step 4: Simplify right side
    1,191.19x = 2,057,220.51
  5. Step 5: Solve for x
    x = 2,057,220.51/1,191.19
  6. Step 6: Final answer
    x = 1,727.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.