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Finding the Fourth Proportional to 421.24, 627.60 and 400.57

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Solution

The fourth proportional to 421.24, 627.60 and 400.57 is: 596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.24 : 627.60 = 400.57 : x
  2. Step 2: Convert to fraction form
    421.24/627.60 = 400.57/x
  3. Step 3: Cross multiply
    421.24x = 627.60 × 400.57
  4. Step 4: Simplify right side
    421.24x = 251,397.73
  5. Step 5: Solve for x
    x = 251,397.73/421.24
  6. Step 6: Final answer
    x = 596.80

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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.