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Finding the Fourth Proportional to 1,079.58, 1,619.37 and 985.62

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Solution

The fourth proportional to 1,079.58, 1,619.37 and 985.62 is: 1,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.58 : 1,619.37 = 985.62 : x
  2. Step 2: Convert to fraction form
    1,079.58/1,619.37 = 985.62/x
  3. Step 3: Cross multiply
    1,079.58x = 1,619.37 × 985.62
  4. Step 4: Simplify right side
    1,079.58x = 1,596,083.46
  5. Step 5: Solve for x
    x = 1,596,083.46/1,079.58
  6. Step 6: Final answer
    x = 1,478.43

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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.