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Finding the Fourth Proportional to 453.45, 625.85 and 294.13

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Solution

The fourth proportional to 453.45, 625.85 and 294.13 is: 405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.45 : 625.85 = 294.13 : x
  2. Step 2: Convert to fraction form
    453.45/625.85 = 294.13/x
  3. Step 3: Cross multiply
    453.45x = 625.85 × 294.13
  4. Step 4: Simplify right side
    453.45x = 184,081.26
  5. Step 5: Solve for x
    x = 184,081.26/453.45
  6. Step 6: Final answer
    x = 405.96

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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.