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Finding the Fourth Proportional to 415.70, 620.30 and 385.14

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Solution

The fourth proportional to 415.70, 620.30 and 385.14 is: 574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.70 : 620.30 = 385.14 : x
  2. Step 2: Convert to fraction form
    415.70/620.30 = 385.14/x
  3. Step 3: Cross multiply
    415.70x = 620.30 × 385.14
  4. Step 4: Simplify right side
    415.70x = 238,902.34
  5. Step 5: Solve for x
    x = 238,902.34/415.70
  6. Step 6: Final answer
    x = 574.70

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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.