Home / 1,174.35-1,617.30-976.07

Finding the Fourth Proportional to 1,174.35, 1,617.30 and 976.07

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Solution

The fourth proportional to 1,174.35, 1,617.30 and 976.07 is: 1,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.35 : 1,617.30 = 976.07 : x
  2. Step 2: Convert to fraction form
    1,174.35/1,617.30 = 976.07/x
  3. Step 3: Cross multiply
    1,174.35x = 1,617.30 × 976.07
  4. Step 4: Simplify right side
    1,174.35x = 1,578,589.92
  5. Step 5: Solve for x
    x = 1,578,589.92/1,174.35
  6. Step 6: Final answer
    x = 1,344.22

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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.