Home / 1,176.16-1,764.04-310.56

Finding the Fourth Proportional to 1,176.16, 1,764.04 and 310.56

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Solution

The fourth proportional to 1,176.16, 1,764.04 and 310.56 is: 465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.16 : 1,764.04 = 310.56 : x
  2. Step 2: Convert to fraction form
    1,176.16/1,764.04 = 310.56/x
  3. Step 3: Cross multiply
    1,176.16x = 1,764.04 × 310.56
  4. Step 4: Simplify right side
    1,176.16x = 547,840.26
  5. Step 5: Solve for x
    x = 547,840.26/1,176.16
  6. Step 6: Final answer
    x = 465.79

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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.