Home / 1,106.15-1,659.03-325.95

Finding the Fourth Proportional to 1,106.15, 1,659.03 and 325.95

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Solution

The fourth proportional to 1,106.15, 1,659.03 and 325.95 is: 488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.15 : 1,659.03 = 325.95 : x
  2. Step 2: Convert to fraction form
    1,106.15/1,659.03 = 325.95/x
  3. Step 3: Cross multiply
    1,106.15x = 1,659.03 × 325.95
  4. Step 4: Simplify right side
    1,106.15x = 540,760.83
  5. Step 5: Solve for x
    x = 540,760.83/1,106.15
  6. Step 6: Final answer
    x = 488.87

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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.