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Finding the Fourth Proportional to 425.04, 636.77 and 294.75

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Solution

The fourth proportional to 425.04, 636.77 and 294.75 is: 441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.04 : 636.77 = 294.75 : x
  2. Step 2: Convert to fraction form
    425.04/636.77 = 294.75/x
  3. Step 3: Cross multiply
    425.04x = 636.77 × 294.75
  4. Step 4: Simplify right side
    425.04x = 187,688.69
  5. Step 5: Solve for x
    x = 187,688.69/425.04
  6. Step 6: Final answer
    x = 441.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.