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Finding the Fourth Proportional to 986.27, 1,477.28 and 465.49

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Solution

The fourth proportional to 986.27, 1,477.28 and 465.49 is: 697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.27 : 1,477.28 = 465.49 : x
  2. Step 2: Convert to fraction form
    986.27/1,477.28 = 465.49/x
  3. Step 3: Cross multiply
    986.27x = 1,477.28 × 465.49
  4. Step 4: Simplify right side
    986.27x = 687,651.68
  5. Step 5: Solve for x
    x = 687,651.68/986.27
  6. Step 6: Final answer
    x = 697.22

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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.