Home / 1,148.96-1,723.50-327.17

Finding the Fourth Proportional to 1,148.96, 1,723.50 and 327.17

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Solution

The fourth proportional to 1,148.96, 1,723.50 and 327.17 is: 490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.96 : 1,723.50 = 327.17 : x
  2. Step 2: Convert to fraction form
    1,148.96/1,723.50 = 327.17/x
  3. Step 3: Cross multiply
    1,148.96x = 1,723.50 × 327.17
  4. Step 4: Simplify right side
    1,148.96x = 563,881.80
  5. Step 5: Solve for x
    x = 563,881.80/1,148.96
  6. Step 6: Final answer
    x = 490.77

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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.