Home / 1,150.23-1,725.14-328.55

Finding the Fourth Proportional to 1,150.23, 1,725.14 and 328.55

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Solution

The fourth proportional to 1,150.23, 1,725.14 and 328.55 is: 492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.23 : 1,725.14 = 328.55 : x
  2. Step 2: Convert to fraction form
    1,150.23/1,725.14 = 328.55/x
  3. Step 3: Cross multiply
    1,150.23x = 1,725.14 × 328.55
  4. Step 4: Simplify right side
    1,150.23x = 566,784.48
  5. Step 5: Solve for x
    x = 566,784.48/1,150.23
  6. Step 6: Final answer
    x = 492.76

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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.