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Finding the Fourth Proportional to 635.04, 877.23 and 461.30

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Solution

The fourth proportional to 635.04, 877.23 and 461.30 is: 637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.04 : 877.23 = 461.30 : x
  2. Step 2: Convert to fraction form
    635.04/877.23 = 461.30/x
  3. Step 3: Cross multiply
    635.04x = 877.23 × 461.30
  4. Step 4: Simplify right side
    635.04x = 404,661.81
  5. Step 5: Solve for x
    x = 404,661.81/635.04
  6. Step 6: Final answer
    x = 637.22

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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.