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Finding the Fourth Proportional to 635.74, 955.20 and 404.74

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Solution

The fourth proportional to 635.74, 955.20 and 404.74 is: 608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.74 : 955.20 = 404.74 : x
  2. Step 2: Convert to fraction form
    635.74/955.20 = 404.74/x
  3. Step 3: Cross multiply
    635.74x = 955.20 × 404.74
  4. Step 4: Simplify right side
    635.74x = 386,607.65
  5. Step 5: Solve for x
    x = 386,607.65/635.74
  6. Step 6: Final answer
    x = 608.12

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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.