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Finding the Fourth Proportional to 451.75, 623.16 and 294.43

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Solution

The fourth proportional to 451.75, 623.16 and 294.43 is: 406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.75 : 623.16 = 294.43 : x
  2. Step 2: Convert to fraction form
    451.75/623.16 = 294.43/x
  3. Step 3: Cross multiply
    451.75x = 623.16 × 294.43
  4. Step 4: Simplify right side
    451.75x = 183,477.00
  5. Step 5: Solve for x
    x = 183,477.00/451.75
  6. Step 6: Final answer
    x = 406.15

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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.