Home / 1,191.08-1,786.14-460.19

Finding the Fourth Proportional to 1,191.08, 1,786.14 and 460.19

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Solution

The fourth proportional to 1,191.08, 1,786.14 and 460.19 is: 690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.08 : 1,786.14 = 460.19 : x
  2. Step 2: Convert to fraction form
    1,191.08/1,786.14 = 460.19/x
  3. Step 3: Cross multiply
    1,191.08x = 1,786.14 × 460.19
  4. Step 4: Simplify right side
    1,191.08x = 821,968.23
  5. Step 5: Solve for x
    x = 821,968.23/1,191.08
  6. Step 6: Final answer
    x = 690.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.