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Finding the Fourth Proportional to 635.63, 877.17 and 355.83

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Solution

The fourth proportional to 635.63, 877.17 and 355.83 is: 491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.63 : 877.17 = 355.83 : x
  2. Step 2: Convert to fraction form
    635.63/877.17 = 355.83/x
  3. Step 3: Cross multiply
    635.63x = 877.17 × 355.83
  4. Step 4: Simplify right side
    635.63x = 312,123.40
  5. Step 5: Solve for x
    x = 312,123.40/635.63
  6. Step 6: Final answer
    x = 491.05

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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.