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Finding the Fourth Proportional to 465.88, 645.65 and 457.24

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Solution

The fourth proportional to 465.88, 645.65 and 457.24 is: 633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.88 : 645.65 = 457.24 : x
  2. Step 2: Convert to fraction form
    465.88/645.65 = 457.24/x
  3. Step 3: Cross multiply
    465.88x = 645.65 × 457.24
  4. Step 4: Simplify right side
    465.88x = 295,217.01
  5. Step 5: Solve for x
    x = 295,217.01/465.88
  6. Step 6: Final answer
    x = 633.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.