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Finding the Fourth Proportional to 455.58, 627.79 and 298.04

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Solution

The fourth proportional to 455.58, 627.79 and 298.04 is: 410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.58 : 627.79 = 298.04 : x
  2. Step 2: Convert to fraction form
    455.58/627.79 = 298.04/x
  3. Step 3: Cross multiply
    455.58x = 627.79 × 298.04
  4. Step 4: Simplify right side
    455.58x = 187,106.53
  5. Step 5: Solve for x
    x = 187,106.53/455.58
  6. Step 6: Final answer
    x = 410.70

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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.