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Finding the Fourth Proportional to 421.74, 627.08 and 405.34

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Solution

The fourth proportional to 421.74, 627.08 and 405.34 is: 602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.74 : 627.08 = 405.34 : x
  2. Step 2: Convert to fraction form
    421.74/627.08 = 405.34/x
  3. Step 3: Cross multiply
    421.74x = 627.08 × 405.34
  4. Step 4: Simplify right side
    421.74x = 254,177.01
  5. Step 5: Solve for x
    x = 254,177.01/421.74
  6. Step 6: Final answer
    x = 602.69

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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.