Home / 1,054.31-1,581.76-323.99

Finding the Fourth Proportional to 1,054.31, 1,581.76 and 323.99

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Solution

The fourth proportional to 1,054.31, 1,581.76 and 323.99 is: 486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.31 : 1,581.76 = 323.99 : x
  2. Step 2: Convert to fraction form
    1,054.31/1,581.76 = 323.99/x
  3. Step 3: Cross multiply
    1,054.31x = 1,581.76 × 323.99
  4. Step 4: Simplify right side
    1,054.31x = 512,472.85
  5. Step 5: Solve for x
    x = 512,472.85/1,054.31
  6. Step 6: Final answer
    x = 486.08

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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.