Home / 1,053.06-1,579.94-322.65

Finding the Fourth Proportional to 1,053.06, 1,579.94 and 322.65

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Solution

The fourth proportional to 1,053.06, 1,579.94 and 322.65 is: 484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.06 : 1,579.94 = 322.65 : x
  2. Step 2: Convert to fraction form
    1,053.06/1,579.94 = 322.65/x
  3. Step 3: Cross multiply
    1,053.06x = 1,579.94 × 322.65
  4. Step 4: Simplify right side
    1,053.06x = 509,760.55
  5. Step 5: Solve for x
    x = 509,760.55/1,053.06
  6. Step 6: Final answer
    x = 484.07

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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.