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Finding the Fourth Proportional to 420.25, 627.62 and 362.59

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Solution

The fourth proportional to 420.25, 627.62 and 362.59 is: 541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.25 : 627.62 = 362.59 : x
  2. Step 2: Convert to fraction form
    420.25/627.62 = 362.59/x
  3. Step 3: Cross multiply
    420.25x = 627.62 × 362.59
  4. Step 4: Simplify right side
    420.25x = 227,568.74
  5. Step 5: Solve for x
    x = 227,568.74/420.25
  6. Step 6: Final answer
    x = 541.51

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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.