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Finding the Fourth Proportional to 479.89, 658.35 and 456.65

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Solution

The fourth proportional to 479.89, 658.35 and 456.65 is: 626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.89 : 658.35 = 456.65 : x
  2. Step 2: Convert to fraction form
    479.89/658.35 = 456.65/x
  3. Step 3: Cross multiply
    479.89x = 658.35 × 456.65
  4. Step 4: Simplify right side
    479.89x = 300,632.24
  5. Step 5: Solve for x
    x = 300,632.24/479.89
  6. Step 6: Final answer
    x = 626.47

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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.