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Finding the Fourth Proportional to 454.93, 627.90 and 289.01

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Solution

The fourth proportional to 454.93, 627.90 and 289.01 is: 398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.93 : 627.90 = 289.01 : x
  2. Step 2: Convert to fraction form
    454.93/627.90 = 289.01/x
  3. Step 3: Cross multiply
    454.93x = 627.90 × 289.01
  4. Step 4: Simplify right side
    454.93x = 181,469.38
  5. Step 5: Solve for x
    x = 181,469.38/454.93
  6. Step 6: Final answer
    x = 398.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.