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Finding the Fourth Proportional to 405.62, 605.46 and 375.53

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Solution

The fourth proportional to 405.62, 605.46 and 375.53 is: 560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.62 : 605.46 = 375.53 : x
  2. Step 2: Convert to fraction form
    405.62/605.46 = 375.53/x
  3. Step 3: Cross multiply
    405.62x = 605.46 × 375.53
  4. Step 4: Simplify right side
    405.62x = 227,365.37
  5. Step 5: Solve for x
    x = 227,365.37/405.62
  6. Step 6: Final answer
    x = 560.54

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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.