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Finding the Fourth Proportional to 479.15, 658.43 and 457.45

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Solution

The fourth proportional to 479.15, 658.43 and 457.45 is: 628.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.15 : 658.43 = 457.45 : x
  2. Step 2: Convert to fraction form
    479.15/658.43 = 457.45/x
  3. Step 3: Cross multiply
    479.15x = 658.43 × 457.45
  4. Step 4: Simplify right side
    479.15x = 301,196.59
  5. Step 5: Solve for x
    x = 301,196.59/479.15
  6. Step 6: Final answer
    x = 628.61

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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.