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Finding the Fourth Proportional to 635.75, 877.65 and 400.04

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Solution

The fourth proportional to 635.75, 877.65 and 400.04 is: 552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.75 : 877.65 = 400.04 : x
  2. Step 2: Convert to fraction form
    635.75/877.65 = 400.04/x
  3. Step 3: Cross multiply
    635.75x = 877.65 × 400.04
  4. Step 4: Simplify right side
    635.75x = 351,095.11
  5. Step 5: Solve for x
    x = 351,095.11/635.75
  6. Step 6: Final answer
    x = 552.25

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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.