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Finding the Fourth Proportional to 636.12, 877.74 and 403.14

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Solution

The fourth proportional to 636.12, 877.74 and 403.14 is: 556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.12 : 877.74 = 403.14 : x
  2. Step 2: Convert to fraction form
    636.12/877.74 = 403.14/x
  3. Step 3: Cross multiply
    636.12x = 877.74 × 403.14
  4. Step 4: Simplify right side
    636.12x = 353,852.10
  5. Step 5: Solve for x
    x = 353,852.10/636.12
  6. Step 6: Final answer
    x = 556.27

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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.