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Finding the Fourth Proportional to 619, 922.91 and 582.28

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Solution

The fourth proportional to 619, 922.91 and 582.28 is: 868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    619 : 922.91 = 582.28 : x
  2. Step 2: Convert to fraction form
    619/922.91 = 582.28/x
  3. Step 3: Cross multiply
    619x = 922.91 × 582.28
  4. Step 4: Simplify right side
    619x = 537,392.03
  5. Step 5: Solve for x
    x = 537,392.03/619
  6. Step 6: Final answer
    x = 868.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.