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Finding the Fourth Proportional to 488.24, 733.26 and 407.24

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Solution

The fourth proportional to 488.24, 733.26 and 407.24 is: 611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.24 : 733.26 = 407.24 : x
  2. Step 2: Convert to fraction form
    488.24/733.26 = 407.24/x
  3. Step 3: Cross multiply
    488.24x = 733.26 × 407.24
  4. Step 4: Simplify right side
    488.24x = 298,612.80
  5. Step 5: Solve for x
    x = 298,612.80/488.24
  6. Step 6: Final answer
    x = 611.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.