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Finding the Fourth Proportional to 455.07, 627.83 and 315.13

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Solution

The fourth proportional to 455.07, 627.83 and 315.13 is: 434.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.07 : 627.83 = 315.13 : x
  2. Step 2: Convert to fraction form
    455.07/627.83 = 315.13/x
  3. Step 3: Cross multiply
    455.07x = 627.83 × 315.13
  4. Step 4: Simplify right side
    455.07x = 197,848.07
  5. Step 5: Solve for x
    x = 197,848.07/455.07
  6. Step 6: Final answer
    x = 434.76

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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.