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Finding the Fourth Proportional to 986.36, 1,479.59 and 575.27

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Solution

The fourth proportional to 986.36, 1,479.59 and 575.27 is: 862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.36 : 1,479.59 = 575.27 : x
  2. Step 2: Convert to fraction form
    986.36/1,479.59 = 575.27/x
  3. Step 3: Cross multiply
    986.36x = 1,479.59 × 575.27
  4. Step 4: Simplify right side
    986.36x = 851,153.47
  5. Step 5: Solve for x
    x = 851,153.47/986.36
  6. Step 6: Final answer
    x = 862.93

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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.