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Finding the Fourth Proportional to 458.72, 628.48 and 452.64

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Solution

The fourth proportional to 458.72, 628.48 and 452.64 is: 620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.72 : 628.48 = 452.64 : x
  2. Step 2: Convert to fraction form
    458.72/628.48 = 452.64/x
  3. Step 3: Cross multiply
    458.72x = 628.48 × 452.64
  4. Step 4: Simplify right side
    458.72x = 284,475.19
  5. Step 5: Solve for x
    x = 284,475.19/458.72
  6. Step 6: Final answer
    x = 620.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.