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Finding the Fourth Proportional to 418.96, 624.83 and 405.46

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Solution

The fourth proportional to 418.96, 624.83 and 405.46 is: 604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.96 : 624.83 = 405.46 : x
  2. Step 2: Convert to fraction form
    418.96/624.83 = 405.46/x
  3. Step 3: Cross multiply
    418.96x = 624.83 × 405.46
  4. Step 4: Simplify right side
    418.96x = 253,343.57
  5. Step 5: Solve for x
    x = 253,343.57/418.96
  6. Step 6: Final answer
    x = 604.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.