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Finding the Fourth Proportional to 420.01, 627.53 and 405.66

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Solution

The fourth proportional to 420.01, 627.53 and 405.66 is: 606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.01 : 627.53 = 405.66 : x
  2. Step 2: Convert to fraction form
    420.01/627.53 = 405.66/x
  3. Step 3: Cross multiply
    420.01x = 627.53 × 405.66
  4. Step 4: Simplify right side
    420.01x = 254,563.82
  5. Step 5: Solve for x
    x = 254,563.82/420.01
  6. Step 6: Final answer
    x = 606.09

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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.