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Finding the Fourth Proportional to 637.69, 954.91 and 584.23

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Solution

The fourth proportional to 637.69, 954.91 and 584.23 is: 874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.69 : 954.91 = 584.23 : x
  2. Step 2: Convert to fraction form
    637.69/954.91 = 584.23/x
  3. Step 3: Cross multiply
    637.69x = 954.91 × 584.23
  4. Step 4: Simplify right side
    637.69x = 557,879.37
  5. Step 5: Solve for x
    x = 557,879.37/637.69
  6. Step 6: Final answer
    x = 874.85

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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.