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Finding the Fourth Proportional to 986.01, 1,478.00 and 438.58

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Solution

The fourth proportional to 986.01, 1,478.00 and 438.58 is: 657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.01 : 1,478.00 = 438.58 : x
  2. Step 2: Convert to fraction form
    986.01/1,478.00 = 438.58/x
  3. Step 3: Cross multiply
    986.01x = 1,478.00 × 438.58
  4. Step 4: Simplify right side
    986.01x = 648,221.72
  5. Step 5: Solve for x
    x = 648,221.72/986.01
  6. Step 6: Final answer
    x = 657.42

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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.