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Finding the Fourth Proportional to 468.22, 645.50 and 453.86

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Solution

The fourth proportional to 468.22, 645.50 and 453.86 is: 625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.22 : 645.50 = 453.86 : x
  2. Step 2: Convert to fraction form
    468.22/645.50 = 453.86/x
  3. Step 3: Cross multiply
    468.22x = 645.50 × 453.86
  4. Step 4: Simplify right side
    468.22x = 292,966.63
  5. Step 5: Solve for x
    x = 292,966.63/468.22
  6. Step 6: Final answer
    x = 625.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.