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Finding the Fourth Proportional to 612.28, 920.85 and 575.56

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Solution

The fourth proportional to 612.28, 920.85 and 575.56 is: 865.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.28 : 920.85 = 575.56 : x
  2. Step 2: Convert to fraction form
    612.28/920.85 = 575.56/x
  3. Step 3: Cross multiply
    612.28x = 920.85 × 575.56
  4. Step 4: Simplify right side
    612.28x = 530,004.43
  5. Step 5: Solve for x
    x = 530,004.43/612.28
  6. Step 6: Final answer
    x = 865.62

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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.