Home / 1,150.13-1,725.20-456.97

Finding the Fourth Proportional to 1,150.13, 1,725.20 and 456.97

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Solution

The fourth proportional to 1,150.13, 1,725.20 and 456.97 is: 685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.13 : 1,725.20 = 456.97 : x
  2. Step 2: Convert to fraction form
    1,150.13/1,725.20 = 456.97/x
  3. Step 3: Cross multiply
    1,150.13x = 1,725.20 × 456.97
  4. Step 4: Simplify right side
    1,150.13x = 788,364.64
  5. Step 5: Solve for x
    x = 788,364.64/1,150.13
  6. Step 6: Final answer
    x = 685.46

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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.