Home / 1,148.90-1,723.61-327.18

Finding the Fourth Proportional to 1,148.90, 1,723.61 and 327.18

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Solution

The fourth proportional to 1,148.90, 1,723.61 and 327.18 is: 490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.90 : 1,723.61 = 327.18 : x
  2. Step 2: Convert to fraction form
    1,148.90/1,723.61 = 327.18/x
  3. Step 3: Cross multiply
    1,148.90x = 1,723.61 × 327.18
  4. Step 4: Simplify right side
    1,148.90x = 563,931.54
  5. Step 5: Solve for x
    x = 563,931.54/1,148.90
  6. Step 6: Final answer
    x = 490.85

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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.