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Finding the Fourth Proportional to 454.94, 627.89 and 258.56

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Solution

The fourth proportional to 454.94, 627.89 and 258.56 is: 356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.94 : 627.89 = 258.56 : x
  2. Step 2: Convert to fraction form
    454.94/627.89 = 258.56/x
  3. Step 3: Cross multiply
    454.94x = 627.89 × 258.56
  4. Step 4: Simplify right side
    454.94x = 162,347.24
  5. Step 5: Solve for x
    x = 162,347.24/454.94
  6. Step 6: Final answer
    x = 356.85

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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.