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Finding the Fourth Proportional to 455.04, 679.68 and 452.64

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Solution

The fourth proportional to 455.04, 679.68 and 452.64 is: 676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.04 : 679.68 = 452.64 : x
  2. Step 2: Convert to fraction form
    455.04/679.68 = 452.64/x
  3. Step 3: Cross multiply
    455.04x = 679.68 × 452.64
  4. Step 4: Simplify right side
    455.04x = 307,650.36
  5. Step 5: Solve for x
    x = 307,650.36/455.04
  6. Step 6: Final answer
    x = 676.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.