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Finding the Fourth Proportional to 635.53, 877.26 and 471.07

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Solution

The fourth proportional to 635.53, 877.26 and 471.07 is: 650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.53 : 877.26 = 471.07 : x
  2. Step 2: Convert to fraction form
    635.53/877.26 = 471.07/x
  3. Step 3: Cross multiply
    635.53x = 877.26 × 471.07
  4. Step 4: Simplify right side
    635.53x = 413,250.87
  5. Step 5: Solve for x
    x = 413,250.87/635.53
  6. Step 6: Final answer
    x = 650.25

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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.