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Finding the Fourth Proportional to 635.90, 877.47 and 387.23

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Solution

The fourth proportional to 635.90, 877.47 and 387.23 is: 534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.90 : 877.47 = 387.23 : x
  2. Step 2: Convert to fraction form
    635.90/877.47 = 387.23/x
  3. Step 3: Cross multiply
    635.90x = 877.47 × 387.23
  4. Step 4: Simplify right side
    635.90x = 339,782.71
  5. Step 5: Solve for x
    x = 339,782.71/635.90
  6. Step 6: Final answer
    x = 534.33

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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.