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Finding the Fourth Proportional to 986.14, 1,479.57 and 438.28

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Solution

The fourth proportional to 986.14, 1,479.57 and 438.28 is: 657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.14 : 1,479.57 = 438.28 : x
  2. Step 2: Convert to fraction form
    986.14/1,479.57 = 438.28/x
  3. Step 3: Cross multiply
    986.14x = 1,479.57 × 438.28
  4. Step 4: Simplify right side
    986.14x = 648,460.60
  5. Step 5: Solve for x
    x = 648,460.60/986.14
  6. Step 6: Final answer
    x = 657.57

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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.