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Finding the Fourth Proportional to 585.69, 877.46 and 422.97

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Solution

The fourth proportional to 585.69, 877.46 and 422.97 is: 633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.69 : 877.46 = 422.97 : x
  2. Step 2: Convert to fraction form
    585.69/877.46 = 422.97/x
  3. Step 3: Cross multiply
    585.69x = 877.46 × 422.97
  4. Step 4: Simplify right side
    585.69x = 371,137.14
  5. Step 5: Solve for x
    x = 371,137.14/585.69
  6. Step 6: Final answer
    x = 633.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.