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Finding the Fourth Proportional to 456.95, 625.16 and 455.00

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Solution

The fourth proportional to 456.95, 625.16 and 455.00 is: 622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.95 : 625.16 = 455.00 : x
  2. Step 2: Convert to fraction form
    456.95/625.16 = 455.00/x
  3. Step 3: Cross multiply
    456.95x = 625.16 × 455.00
  4. Step 4: Simplify right side
    456.95x = 284,442.40
  5. Step 5: Solve for x
    x = 284,442.40/456.95
  6. Step 6: Final answer
    x = 622.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.