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Finding the Fourth Proportional to 455.13, 686.74 and 438.27

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Solution

The fourth proportional to 455.13, 686.74 and 438.27 is: 661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.13 : 686.74 = 438.27 : x
  2. Step 2: Convert to fraction form
    455.13/686.74 = 438.27/x
  3. Step 3: Cross multiply
    455.13x = 686.74 × 438.27
  4. Step 4: Simplify right side
    455.13x = 300,976.44
  5. Step 5: Solve for x
    x = 300,976.44/455.13
  6. Step 6: Final answer
    x = 661.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.