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Finding the Fourth Proportional to 451.72, 623.01 and 294.34

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Solution

The fourth proportional to 451.72, 623.01 and 294.34 is: 405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.72 : 623.01 = 294.34 : x
  2. Step 2: Convert to fraction form
    451.72/623.01 = 294.34/x
  3. Step 3: Cross multiply
    451.72x = 623.01 × 294.34
  4. Step 4: Simplify right side
    451.72x = 183,376.76
  5. Step 5: Solve for x
    x = 183,376.76/451.72
  6. Step 6: Final answer
    x = 405.95

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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.