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Finding the Fourth Proportional to 986.21, 1,477.94 and 498.69

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Solution

The fourth proportional to 986.21, 1,477.94 and 498.69 is: 747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.21 : 1,477.94 = 498.69 : x
  2. Step 2: Convert to fraction form
    986.21/1,477.94 = 498.69/x
  3. Step 3: Cross multiply
    986.21x = 1,477.94 × 498.69
  4. Step 4: Simplify right side
    986.21x = 737,033.90
  5. Step 5: Solve for x
    x = 737,033.90/986.21
  6. Step 6: Final answer
    x = 747.34

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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.