Home / 1,079.52-1,619.20-310.08

Finding the Fourth Proportional to 1,079.52, 1,619.20 and 310.08

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Solution

The fourth proportional to 1,079.52, 1,619.20 and 310.08 is: 465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.52 : 1,619.20 = 310.08 : x
  2. Step 2: Convert to fraction form
    1,079.52/1,619.20 = 310.08/x
  3. Step 3: Cross multiply
    1,079.52x = 1,619.20 × 310.08
  4. Step 4: Simplify right side
    1,079.52x = 502,081.54
  5. Step 5: Solve for x
    x = 502,081.54/1,079.52
  6. Step 6: Final answer
    x = 465.10

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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.