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Finding the Fourth Proportional to 420.72, 627.50 and 362.28

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Solution

The fourth proportional to 420.72, 627.50 and 362.28 is: 540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.72 : 627.50 = 362.28 : x
  2. Step 2: Convert to fraction form
    420.72/627.50 = 362.28/x
  3. Step 3: Cross multiply
    420.72x = 627.50 × 362.28
  4. Step 4: Simplify right side
    420.72x = 227,330.70
  5. Step 5: Solve for x
    x = 227,330.70/420.72
  6. Step 6: Final answer
    x = 540.34

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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.