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Finding the Fourth Proportional to 405.14, 610.20 and 385.70

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Solution

The fourth proportional to 405.14, 610.20 and 385.70 is: 580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.14 : 610.20 = 385.70 : x
  2. Step 2: Convert to fraction form
    405.14/610.20 = 385.70/x
  3. Step 3: Cross multiply
    405.14x = 610.20 × 385.70
  4. Step 4: Simplify right side
    405.14x = 235,354.14
  5. Step 5: Solve for x
    x = 235,354.14/405.14
  6. Step 6: Final answer
    x = 580.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.