Home / 1,185.13-1,634.20-830.93

Finding the Fourth Proportional to 1,185.13, 1,634.20 and 830.93

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Solution

The fourth proportional to 1,185.13, 1,634.20 and 830.93 is: 1,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.13 : 1,634.20 = 830.93 : x
  2. Step 2: Convert to fraction form
    1,185.13/1,634.20 = 830.93/x
  3. Step 3: Cross multiply
    1,185.13x = 1,634.20 × 830.93
  4. Step 4: Simplify right side
    1,185.13x = 1,357,905.81
  5. Step 5: Solve for x
    x = 1,357,905.81/1,185.13
  6. Step 6: Final answer
    x = 1,145.79

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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.