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Finding the Fourth Proportional to 1,079.76, 1,619.62 and 310.26

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Solution

The fourth proportional to 1,079.76, 1,619.62 and 310.26 is: 465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.76 : 1,619.62 = 310.26 : x
  2. Step 2: Convert to fraction form
    1,079.76/1,619.62 = 310.26/x
  3. Step 3: Cross multiply
    1,079.76x = 1,619.62 × 310.26
  4. Step 4: Simplify right side
    1,079.76x = 502,503.30
  5. Step 5: Solve for x
    x = 502,503.30/1,079.76
  6. Step 6: Final answer
    x = 465.38

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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.