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Finding the Fourth Proportional to 414.53, 570.75 and 362.78

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Solution

The fourth proportional to 414.53, 570.75 and 362.78 is: 499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.53 : 570.75 = 362.78 : x
  2. Step 2: Convert to fraction form
    414.53/570.75 = 362.78/x
  3. Step 3: Cross multiply
    414.53x = 570.75 × 362.78
  4. Step 4: Simplify right side
    414.53x = 207,056.69
  5. Step 5: Solve for x
    x = 207,056.69/414.53
  6. Step 6: Final answer
    x = 499.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.